SO MANY !!!!!
Not in any specific order And not just five... I'm trying real hard to limit myself.
I'm sure I'm missing some good ones but a few off the top of my head.
Anime Series
Midori Days / Midori no Hibi
Full Metal Panic (all of them)
Time of Eve
Haibane Renmei
Twelve Kingdoms
Ghost in the Shell (all)
Ah My Goddess
Black Lagoon
Cowboy BeBop
Anime Movies
Sprited Away
Summer Wars
Kiki's Delivery Service
I have flinch/run away issues for any anime that has escalating power levels and child/teen characters facing off/fighting the world. (Naruto,DBZ etc..)