1) Steins;Gate - Time travelling anime about a 'mad scientist' - well informed, and the contrast in tone of the anime throughout it is great.
2) Cowboy Bebop - I don't feel like it needs to be described - freaking cool mc and soundtrack
3) Trigun - Sci-Fi Western about a man's philosophy getting tested to its limits - really good character development and transactions
4) Gurenn Lagann/Needless - Ridiculous mecha anime about a human rebellion/ clone of 'Jesus' fighting another clone of 'Jesus'- Gurenn is just hysterical, the fighting is over the top, the characters (KAMINA) are so cool although they are formulaic and I love the theme's of masculinity that run through it/ I believe the show to be facade of anime cliches (I may be giving them too much credit) its just hilarious everything about it, the fights are awesome although the dub is awful.
5) Hajime no Ippo - Boxing Anime about the ultimate underdog - Really cool fights that seem more human since they're based off boxing, one of my favorite shonens
I do like read a lot of manga though in contrast with anime, my favorites of that are Full Metal Alchemist, Rurouni Kenshin, Yu Yu Hakoshiro, Beserk, Beelzebub
Also I dunno where I should add Hellsing Ultimate and One Piece as they are both really good too.