One of the hobbies I've gotten back into over the past few years has been watching anime. Some of the newer stuff is really good, and it's a great way to unwind after a long day of work. This page will grow as I find new things to recommend.
A hero so powerful that boredom has set in, and a world that's barely aware he even exists. Really funny dialogue, solid characters, and great animation.
Space bounty hunters, crazy hacking, and a fantastic soundtrack. Sort of a space noir.
If you're going to watch a lot of anime, at least once you'll hit the magical girl trope, and Sailor Moon is a classic in that regard. There's a fair bit of the monster-of-the-week fluff, but there's episode lists online if you want all-plot.
Puella Magi Madoka Magica
A mind-bending spin on magical girls, with some of the most stunning visuals I've seen. It twists and turns, and while I'd love to describe it more, I'll just say get through the first 30 minutes - nothing is what it seems.
Not anime in the typical sense (it's CGI), but it's so darn charming it's hard not to include it in this list.
A boy and a girl switch bodies when they fall asleep, and this sets the stage for crazy cosmic events and love. Funny, sweet, moving.
The Boy and the Beast
An orphan stumbles into the beast world, and grows up in this world as student to an ornery martial artist beast.
Really anything by Hayao Miyazaki is worth watching, but this one is like a rich cake: best consumed over multiple sittings.
The Devil is a Part-Timer!
Can the personification of evil in one world be a decent guy in another? Also, can he successfully run his fast-food burger chain?
Can a male model also be a crime-fighting superhero? I think my favorite part is how he chases down baddies on his folding bicycle.
Expelled from Paradise
What constitutes humanity? Can a computer be human, and what would a human lost if they uploaded themselves into computers?