Most decent cases do have LED lights on their fans, but you can always replace the fans yourself.
If that's too much trouble for you and you have some cash laying around, go for a Lian-Li or Silverstone case like this:
Lights have switches and can be turned off. With customers wanting one or the other it's simply cheaper to make em w/ lights and have a switch then to stick 2 different kinds.
Antec 1200 / CP-850 pairing provides unmatched Performance / Cost ratio for $250. You can turn off the lights if ya don't like....son and I use same case ..... he likes it blingy w/ lights on./....I prefer the more sedate look and turn lights off.
I would go with one of the ones saint19 recommended, but if you want to spend around the vicinity of $300 you could always go for a Silverstone or a Lian-Li, though IMO for the extra money I'm paying I'd rather live with the clored fan.