I'm into reading Manga, which is sort of like anime, only on paper. Currently I'm reading the digimon v-d trainer series on my Nexus 7 via the Mango app.
The Big-O
Lupin III
Tenchi Muyo!
Cowboy Bebop
YuYu Hakusho
Blue Submarine No.6
Perfect Blue
Vampire Hunter D and it's Sequels
FLCL
Serial Experiments Lain
Space Dandy
Cutey Honey
Crying Freeman
Cyborg 009 (had to check the name. thought it was 'Android 009' at first. also, I'm talking about the series from the late '80s early '90s. didn't even know there was a modern movie until I checked the name, and it looks doooope.)