I don't watch nearly as much as I used to, however the following ones will always have a place in my heart:
I've recently started watching Durarara! and it's lovely so far.
so far im debating cause i have favorites in different genre's so i guess ill give my fav's out by the genre's i can think of...
Sports: Big Windup
Action:cross between Bleach and Naruto
Weird(idk what genre it is so im putting it as weird): Durarara
Mystery: Detective Conan aka. Case Closed
and that is all i can think of right now...
Battlestar Galactica has an anime? O_o
I've seen a lot of anime but so far the winners are:
1. The Vision of Escaflowne (tv show)
2. The Girl Who Leapt Through Time
4. Neon Genesis Evangelion (only the tv show)
5. Revolutionary Girl Utena (haven't seen the movie yet though, but it's supposed to be really weird).
I mech shows but haven't seen too many anime with mechs in them (aside from what I listed, Gundam and Code Geass). I'm a sucker for giant robots. ^_^
Man, there are so many to choose from...
Eureka Seven, Big O, the Gundam series, Eyeshield 21, Rurouni Kenshin, Busou Renkin, Naruto, Black Cat, Black Lagoon, Hellsing, Tiger & Bunny, and Fullmetal Alchemist.
And for anime movies: Summer Wars, The Girl Who Leapt Through Time, and anything by Makoto Shinkai.
But if you want my favorite anime of all time then Eureka Seven.