the first band i got really into was blur in 1995, and i still listen to them a lot, as well as a lot of bands i got into in the mid-to-late 90s. there are too many to mention.
but if you just mean old music that we listen to regardless of whether we got into it at the time, i listen to plenty of stuff from before i was born, too. old bowie, joy division, obviously the stones, etc.