FFI - no Moogles
FFII - Beavers, but no Moogles
FFIII - Moogles!
FFIV - no Moogles (wtf?)
FFV - Moogle Forest! Also includes Moogle Suit!
FFVI - Mog the Moogle! (also the first US FF appearance of a Moogle). In addition, Moogle Suit and den of Moogles can be found.
FFVII - Mog House, Cait Sith's faithful steed, and Choco/Mog summon.
FFVIII - Mini-Mog!
FFIX - Moogles EVERYWHERE!
FFX - Moogle dolls what attack you!
FFX-2 - Moogle Dressphere!
FFXI - Indentured servant Moogles! Also includes Event Moogles!"
FFXII - NPC Moogles?

FFMQ - No Moogles
FFT - Summon Moogle!
Chocobo's Mysterious Dungeon - I dunno LOL
Chocobo Racing - Mog the racer!
FFTA - Race of Moogles!
FFCC - Mailmoogles!
BC: FFVII - Cait Sith cameo, haven't played it though

LotC - I don't remember, it was awful
TSW - Nope, no Moogles.
FFU - various Moogles
AC - Moogle doll onry

SD1 (FFA) - US Moogle debut!
SD2 (SoM) - Moogle Mania!
SD3 - eh... I didn't get that far in it...
LoM - never played it