Final Fantasy, Mana (Seiken Densetsu) and Kingdom Hearts game series. They first appeared in Final Fantasy III. Moogles serve a variety of purposes in the various games in which they appear.

a mix between these animals, a Bat (Koumori)and a Cat (Neko)

a cross between a cloud and a very cute devil

Not P2P or Bittorent, its different than any other file downloading application! It's called moogle and it uses google as a base for finding server directories. Then it spiders each server and outputs a list of files.