Hmm. Toughie.
Favorite Moments:
FF1 - When you cross the bridge north of corneria
FF2 - When you realize you can turn the game off and stop playing.

FF3 - Haven't played.
FF4 - Final Boss fight where everyone shows up to give you support.
FF5 - First fight with Gilgamesh.
FF6 - Kefka saying: You sound like chapters out of a self help booklet!
FF7 - Motorcycle Chase.
FF8 - The Camcorder sequence in the credits.

FF9 - The escape through south gate, being chased by Black Waltz #3.
FF10 - The prelude to the fight with Yunalesca.
FF10-2 - The "good" ending.
FF11 - All of it.
Favorite Character/Bad Guy:
FF1 - Black Mage (Fighterdoken!) / Garland
FF2 - Nobody.
FF3 - Dunno.
FF4 - Kain / Rubicant (that debonaire evil always gets me.)
FF5 - Faris / Gilgamesh.
FF6 - Cyan / KEFKA!
FF7 - Vincent / Hojo
FF8 - Zell / Fuujin and Raijin
FF9 - Vivi / Thorn and Zorn
FF10 - AURON / Yunalesca
FF10-2 - Paine / Logos
FF11 - Selphieroth ^_^ / Orcs
As a side note, I think Auron is the coolest "badass" character in the series, because he can admit his weaknesses and failures openly and without excuse.