I love Blazblue period. It became my favorite fighting game when I played the first one. Continuum Shift helped balance things out and added new characters, which made things even more enjoyable.
Before Blazblue I was a Street Fighter 2/3 fan. More SF2 than SF3 though. I hated SF4 though. Didn't help that they had to release all these freaking updated versions, making my collector's edition of the original SF4 not even worth the money I spent on it. I thought I learned my lesson with SF4, but nope. I get MvC3 and now they're doing the same thing to it...expect I liked MVC3.
As for other fighting games, Soul Cailbur 2 was awesome. I didn't like SC3, and I only liked SC4 for the character creations. I like Guilty Gear, but I fail at it for some reason. I've only played X2 and XX Accent Core though. Tekken is okay, but I don't really care for the games that much. I've only played Tag Team Tournament and 3 or 4...I don't remember which one it was. Smash Bros Series is fun to play with friends, but otherwise I'm not huge into it. Oh, and there's this game for the Sega Genesis I own called Eternal Champions that I liked quite a bit, but I usually don't count it since it's kind of obscure now.
So really, all I hate is SC3 and SF4. And I love SF2, SF3 and Blazblue. Everything else I either tolerate or I haven't played.