I like turn based! I also like real time. It depends on the greater battle system and how it's done and how all the different elements come together.
For instance, I didn't really like FF13's battle system (I actually have borderline positive feelings on that game in general and mostly enjoyed my time with it, for the record.) Not because it was real-timey and fast paced, but because I found there was very limited control for that much quick thinking. Something like the Tales series, however, is fantastic fun.
Likewise, a lot of "classical" turn based systems, like the SNES Final Fantasies ... eh, I love those games, but not for the battles, which never, ever seem to end quickly enough. But something like the recent Persona games, with the press attack system, makes turn based combat feel reactive, punchy, quick and fun -- moreso than most modern real time systems. I also adored FFX's battle system, despite hating ... basically everything else about that game. The way turns were structured made the speed stat crucial and let you plan your attacks accordingly.
Basically I like any system that feels quick and reactive, which isn't limited to the turn-based or real-time definition. Persona 4 feels more punchy than Final Fantasy 13. I like games that feel tactical and fast-paced at the same time. I hope jRPGs keep evolving themselves along these lines.