Oh awesome someone made an anime thread!
I think I've watched more anime in the past 6 months more than I have ever. Which is all thanks to Robotech that's what started the avalanche. So kudos to Dred and Drake for getting me started on that. /)(^3^)(\
I've watched a fair amount of anime so far but I'm just going to list the ones I've liked enough to finish. The ones I can remember off the top of my head anyway.
Clannad/Clannad: After Story (The first part is on Youtube, the second is available on Netflix) (A fantastic romantic comedy. This series moved me more than anything else I've ever watched in my entire life.)
Chobits (On Netflix) (This one is great for a quick laugh.)
Dance in the Vampire Bund (On Netflix) (I don't usually like vampires but this one was a fun romp.)
Fate Stay Night (Mainly a fantasy action with bits of comedy.)
Golgo 13 (On Netflix) (This is about an international assassin.)
Gunslinger Girl (On Netflix) (This is my personal favorite. Considering it involves prepubescence girls it's a surprisingly dark story that's as much psychological drama as it is action. It's largely about the dynamic relationships between cybernetic little girl assassins and their handlers. I recommended it to anyone interested in anime.)
K-on! Movie (Comedy.)
Lucky Star (Also great for a quick laugh.)
Toradora! (Another fantastic romantic comedy. I'm a sucker for these.)
The Melancholy of Haruhi Suzumiya (On Youtube)
Outlaw Star. (Sci-fi.)
Princess Tutu (On Netflix) (This anime is a bit...different. Don't watch this one unless you willing to put up with a lot of ballet.)
Sayonara Zetsubou Sensei (Dark Comedy.)
School Days. (This series has one of the best surprise endings endings in an anime. It worth watching just for that.)
Sword Art Online (This one is about a population of gamers getting trapped inside a fantasy virtual reality MMO.)
Welcome to NHK! (On Youtube) (This one is about a social recluse and how meeting a particular girl changes his life.)
You can't get all of these on Netflix but you can find them If you look hard enough. All of these are at least worth giving a chance.