Sunleth Waterscape -300AF-
Mutantomato Fragment - You get this by defeating the Mutantomato after fixing the paradox in Archylte Steppe ???AF. Once that paradox is fixed, instead of fighting His Royal Ripeness, you will find Mutant Tomato. Defeat him. This is a story fragment and you should get it through a normal playthrough but theoretically, it is possible to defeat his Royal Ripeness and get the Paradox Ending and stop playing (I guess).
Extraordinary Egg - You'll find this as you head to the E most point. Take the path that leads past Chocolina and the Time Gate. The path will split N and S with the S just leading to a chest. The N path will lead to a vine. Before you use the vine, you'll see the fragment below you. You can throw Mog from here or you can swing on the vine and immediately do an about face to get closer. Might as well do the later so you actually explore that space because there's no other reason to do so.
Sunleth Waterscape -400AF-
Miniflan Fragment - After finding the five mini flan and collecting their fragments, the flan will gather by where you fought His Royal Ripeness. Go there and you will have to fight the five flan you just saved. After you win, you will get this fragment.
Lapis Lazuli - You get this fragment for finding the red miniflan. Just after finding the group of miniflan, you will find him in the same area at the NE edge. You'll have to Moogle Hunt for him over near the vines.
Heliodor Ore - From the red miniflan, take the vine that leads directly N. You should find the blue miniflan near where you land. Just do a Moogle Hunt in the area to find him and receive this fragment.
Carnelian - After you ride the Woodwraith to the N, you'll come to a small hub area. If you'd go NW from here, you would have found a Time Gate in 300AF but this time you will find a green flan. Do a Moogle Hunt for the miniflan for this fragment.
Celestine - After you ride the Woodwraith to the N, you'll come to a small hub area. Go SE past Chocolina's Shop and when the path splits, take the S path that ends abruptly. This is where you'll find the black flan and among them will be a phased black miniflan.
Cosmo Aura - In the SE most corner of the map, after climbing a bunch of logs and vines, you'll find a group of white flan and in their midst will be a phased white miniflan. Moogle Hunt for him to receive this fragment.
Graviton Core Eta - You can get this in the area where the miniflan were gathering. It will be sitting right on top of a pool of water after you defeat the five colored miniflan.
Sunleth Waterscape -???AF-
Transcript: Mog's Marvelous Flan Plan - You get this for the Paradox Ending Mog's Marvelous Flan Plan. See the Paradox Ending section for more details.
Coliseum -Year Unknown-
White Hole Gem - You'll visit the coliseum from Sunleth 300AF as part of the story. When you walk down to the center of the coliseum, Noel will talk his way into getting this fragment on his own.
