It's not CSI ANYTHING, it's just plain CSI. =)
I've seen CSI: Miami and CSI: New York episodes. I hate CSI: Miami (can't stand Horatio). I will watch CSI:NY to be with my Husband (he likes CSI:NY).
Part of the reason I like CSI is the teamwork, in character and among the actors themselves. No one is "the star" there. They were all relative unknowns... well, unknown to me, before I saw them on the series. They all do important things on their cases. They all work together on different pieces. Gil Grissom is the boss, but he isn't single-handedly The Show every time. He isn't everywhere at once, he doesn't have all the answers, he relies on his staff. It's much more of a team environment than the other series.
That's what annoys me about CSI:Miami. Horatio is "The It". I haven't seen this series for a long time though, so this might have changed.
It's less so with CSI:NY, but still a bit irritating. Maybe it's just my preconceived notions of Gary Sinise (whom I really like and think is a very talented actor in many ways), but I think both the plot of each episode and the continuing storyline revolve around Mac Taylor too much.
It could be that CSI:NY just needs more time, but I get the impression that by the time I'd seen this many episodes of CSI, I knew all of the characters better.