GCPD
You can hack and enter the first cell of the east-west hallway. Go into the cell and destroy the left wall to get into the next cell and claim your statue sitting on the cot.
Inside the Morgue on a table to the left of the door. The statue is sitting right in plain view.
From the stairs by the morgue (by the backdoor entrance to the GCPD), throw a remote controlled baterang through the electricity arching by the ceiling then have the baterang go down, under the gate. Have it go down this hallway and then have it take a right so it's traveling up the North-South holding cell hallway. There is only one cell in this hallway and the only way into it is through the upper right most window. Have the electrified baterang go through that window and hit the fusebox in the back of the room to open the door to the cell. Collect the trophy.
This statue is just above the front door. You have to walk out into the hallway and then grapple up to the rafter area above the hallway. Head back above the main entrance and you'll see the statue in a cage and a button by it turn around and where the intersection is, there is a button both to the left and one to the right. You need to trigger all three without touching the ground in between. This is tough because you can't tightrope on the line launcher here so you'll have to time things well. Start with either of the other switches (not the one by the cage). Stand on it, then line launch across to the other one and drop down just a split second early so you land on the button. Then you need to line launch back the way you came and then do a second line launch at a 90 degree angle (requires the line launcher upgrade) and as soon as you start moving towards the cage and the button, hit the B button so you land on the switch. Again, this will take some practice to get the timing but once you hit all three buttons without touching the ground, you'll be able to grab the statue.
Take the stairs from the parking lot up to the roof and walk around this level. On the front by the grates you can walk around under are a couple of destroyable walls. Destroy either and then crawl through the vent on the other side. This will take you around to a statue.
GCPD Vehicle Access
Head back to the front door of the GCPD and slide under the shutter as usual. Instead of heading through the door, head down the ramp and destroy the wall here to access a statue.
From the last statue, turn left and you can see the statue from an area that you can't reach from here. If you look on the right wall of that area is a destroyable wall. Go outside and to the buildings Northwest of the GCPD. Look down from the roof and you should see the boarded up area on the wall. You need to glide into that to break through. Dive Bomb if you have to. It may take a try or two to line it up but once you're through, you can just pick the statue up.
This is a Catwoman statue. From where you collected the last statue as Batman, Catwoman can pounce up and climb above the water to the other side and you should see the pink statue dead ahead.
Outside the GCPD
In the southwest area outside of the building will be a small booth and you may be able to see the trophy inside but you have to go to the building just to the west and get as close to the booth as possible. You'll have to use an upgraded Sequencer to hack the gate from here, then go back across and in the front door of the booth.
On the east side of the building, just below the back door entrance is a little arch that doesn't lead anywhere and hanging upside down from the keystone of the arch is a trophy. Use the batclaw.
Head west from the GCPD and under the broken bridge. Against the building to the north should be a vent and a button. Stand on the button and three question marks will light up on the building to the west. The two marks on either side are blocked by fences so you'll have to turn to get those. I recommend you get the two on either side first and then hit the middle one last. Use the Remote Controlled Baterang on all three and make liberal use of the boost function.
From the north side of the GCPD roof, look NW and you'll see a building with a giant GOTHAM sign on it. Under that sign, in the nook is a trophy. You'll need to glide from the GCPD, under the trophy to hit the button on the wall, wall glide off of that and grapple up to the statue to collect it.
Gotham Casino
On the northern most part of the roof will be a shack with the trophy in it.
On the west side of the building will be a small caged in area with a trophy. You have to slide under this caged area, causing the trophy to flip down and then you need to hit A while you are sliding to grab it mid slide.
On the building to the west of the Gotham Casino (it appears attached to the Casino on the map) will be a button. Glide from this button to the button just north east and then turn right and glide to the last button to open the trophy cage.
From the last trophy, you may have noticed what looked like another one of those cage mazes. Go over to it and head east. You'll walk across a fence platform and then drop down. Turn around and you'll see a flooded alley. Line launch across and then swing up to tightrope walk on it (requires upgrade). Head all the way to the end and you'll see the trophy and a generator to your right. You'll have to aim high to activate the generator. Activate it and then head back up to the top where you started.
Drop down the east side of the building and you'll want to land on a small balcony sticking out with a boat and a payphone on it. Go inside and turn left. Stand on the button in the corner and then turn around. Line launch all the way down the hall and through two destroyable walls. You should land right next to a statue.
Amusement Mile
On the north side of the map is a little pocket sticking out westward beyond the green line. You can see it from the edge of the broken bridge. Stand on the bridge and use a Freeze Blast to make a raft. Jump down to it and then use the Disruptor (requires upgrade) on the turret in the room. Then just pull yourself over to the ledge with the batclaw and collect the trophy.
This building is just north of the GCPD and has a sign on it that reads "Gotham Sea Pier". On the SW side of the roof is a girder with a Riddler button on it and a statue. If you stand on the button and look south, you should see three lit up question marks just above the water line. Get off the button to gain access to them. Create an ice raft by the question marks and put explosive gel on each one, then return to the button. While standing on it, trigger the explosive gel and then take the trophy.
This building is just north of the GCPD and has a sign on it that reads "Gotham Sea Pier". On the highest part of the roof, you'll find another Riddler button and trophy. Just stand on the button and use the batclaw to grab the trophy.
On the building connected to Poison Ivy's building is a billboard. Right next to the billboard is a door that would otherwise lead into the building but it's been sealed off. Use Explosive Gel to open it.
East of where the Bridge starts leading to the industrail district, you'll find cranes. If you look down from the northern most crane, you will find a group of buttons with fencing between them and a statue. This crane is also the crane with a Augmented Reality Training on it. To do this, you need the grapnel boost. Hit the first button, then grapnel boost up to the crane and over, turn around and then dive bomb onto the next statue. It's a good idea to get some distance before you turn around. You want to try and aim almost strait down to line this up BEFORE you do the dive bomb and then when you are fairly certain that you've lined it up, dive bomb onto the next button. Do this again for the last and then collect your trophy.
From the same crane above the buttons, use the REC to raise the hook of the crane. On the ball above the hook will be a trophy. Use the batclaw to collect it.
Just east of the crane from the previous two statues is a little platform (it's sticking out of the water at an angle). Under the roof will be a button. Stand on it and watch the pattern that displays. When the gate opens, you need to hit the five question marks in the order indicated.
:Pattern 1: 1,3,5,2,4
:Pattern 2: 4,3,1,5,2
:Pattern 3: 3,5,2,1,4
Above Bane's building (just north of the crane) is a vent system with a couple of question marks. The trick here is that you need to hit both switches but you have to time your Remote Control Baterang so it goes through while the vents are open. Try to throw the Baterang just before the vent opens and hit the boost so it hits the first mark. Then the vents will close but when they reopen, they'll stay open allowing you to hit the second mark at your leisure. Hit both and the cage to the left will open.
In the room with Bane (just south of the GCPD) there will be a bunch of side rooms. As you come into the main room, immediately turn right and you will see a counter with a room beyond that you can't get into. There is a trophy there, you just need to use the batclaw.
On the east side of Bane's building, on the outside of the building will be a small caged in area with Red Buttons. If you step on the buttons, it will actually close the cage for the trophy. You want to move just to the right a little without stepping on the buttons and line launch across. You want to aim for the legs of the crane in the distance. If you aren't getting it, move Batman around until you are close enough to hit it.
If you look of the north side of the Bane Building, you should see a roof jutting out towards the GCPD. Throw an Freeze Blast into the water to make a raft and pull yourself under the roof with the batclaw. There is a panel off to the right side to hack. Then just pull yourself inside and grab the trophy.
This trophy is right under the middle of the bridge heading to the industrial district. Throw a Freeze Blast under the middle of the bridge to make a raft and then aim up with your batclaw.
Just west of the bridge will be a building with a button on the very top. If you look south, you'll see another button on the side of another building. Jump off the first button and glide into the second, then as you hit the second button, hit the glide button again to jump off and glide in the opposite direction. There is one more statue against the wall across from this one. Once you glide into this one, hit the glide button back in the opposite direction (towards button two) and use the grapnel to pull you back up to that roof. The trophy will be here but you only have 7 seconds to get it which is why you had to glide jump off of button three.
This statue is on the same building that you started on for the last trophy except on a lower section of the roof to the south. Hop down to it. There will be a caged off area that you have to crawl through and it's filled with mines. It is possible to make it through with no extra health but make sure you know where you are going first. It's actually pretty simple, just keep taking right turns. This is a lot easier to do if you can deactivate the bombs with the disruptor but it's not necessary.
On the northern section of the previous building, just about at the AMU in Amusement Mile will be a button puzzle. It IS as easy as it seems. You merely have to walk over the three buttons to get the trophy.
Just east of the bridge leading to the industrial district, on top of the GCR building. On the lower section is a caged area and you need to get the ball to then end of the maze using the REC. Just step on the button beside the maze and shoot at the generator to pull the ball, then step off of the button and shoot it again. It'll get to the end and you just need to wait for the generator to shut off and the ball to roll by the green gated are.
On the building with AMU of the Amusement Mile on it, on the corner closest to the church are a group of six question marks. You must hit them all in quick succession. Use Explosive Gel to cover the buttom three and then climb up on the building next to the church. Quick throw baterangs at the top three marks, then set off the explosive gel to get all six. Jump down and claim your prize.
North of the Olympus and West of the GCPD is a regular building. On the roof, there is a vent area that can be hacked open. Hack it and the gate will slide open for you.
GCR Building
This trophy is on the Antenna of the building. It is on the level with the letter C.
On the Northern and lower most part of the roof, is a caged trophy with a button. The button alternates Red and Green. You need to step on it while it's green to open the cage.
Gotham City Olympus
Approaching from the West side, there is a balcony under the glowing sign. Drop onto the balcony and break open the wall there (just punch it).
