This is just a quick list of all Fliffies you can get by using a Huge Carrot on them (which you can get, with a low chance, from Lint).
If you track the "Fliffy Herder" trophy, it'll show you this list as well, and it will highlight any pets you have already obtained.
Anyhow, without further ado, you can get:
- Any regular Fliffy in Saliko Forest.
- The Dark Burrowing Fliffies in the Guild Dungeon.
- The small Fliffies spawned by Lint.
- Lint, herself.