Just to prove this guy wrong, here's some anime you may like, and why.
Berserk. Guts is just so badass, and there's plenty of fighting and violence. Oh, and a most epic plot. 25 eps, but you'll be hooked.
Divergence Eve / Misaki Chronicles. Scifi with girls with HUGE tits. It's a bit of a niche; the plot is a bit weak, but the atmosphere is really amazing. Try this if you're willing to risk wasting some time. But you'll know if you don't like it after the first few episodes.
Princess Tutu. If you like great animation and music, this is for you. Before you think an anime about ballet will be too girly and boring, there's actually a strong undercurrent of sexual tension and romance. Again, you'll know if you don't like it after a few episodes. 26 eps in two arcs.
Gunslinger Girl (1st season). Girls, guns, and mafia, but it's actually more about personal stories of the people they have to kill, and the girl's handlers. The girls are, despite the title, not really the main characters.
Gundam Wing. One of the most popular gundam series ever, now only not so widely known because it's a bit older. A good deal of teen angst, though, so be warned. 52 eps plus OVAs and movies.
Fushigi Yuugi. Very heavy on the romance, and a bit weak in plot, but some of the most memorable characters ever. Also check out Utena if this sounds like you may like it.