I'm currently playing Darkside Chronicles for the first time. I think this is probably the only Resident Evil game I've yet to play barring things like obscure cell phone games and such.
I actually greatly enjoyed Umbrella Chronicles, but I think I was feeling lukewarm on the series around the time DC came out, and just never quite got around to it. I've only played up to the end of the RE2 scenario, the production values are impressive and as with UC it's very entertaining to see the abridged versions of the games with lots of spectacle thrown in. Plus I just love rail shooters.
The camera can get annoying once in awhile but it's usually manageable, the only time it really bothered me was during one boss fight. There are also some moments where the game feels oddly cheap, like when Leon narrating certain important events between missions rather than just taking a few second to show them. Or how the RE2 scenario ended without a proper climax. I was expecting a big explosion, but it just sort of ends. Still, it always feels good to play a new Resident Evil game for the first time.