While classical music has always been a big part of the sport, we've also seen skaters do hip-hop, and skate to pretty current electronic music (Joubert, KvdP), as well as instrumental versions of newer pop and rock music (or actual versions, in ice dance - e.g. the Kerrs with their Muse programs), and soundtracks from recent movies are always popular, including not so classical sounding ones (Max Aaron skated to Tron, after all); also, some skaters work with choreographers from currently popular dance shows (DWTS, SYTYCD - the Shibs, I think?).
So sure, there are a lot of classical warhorses, and classical non-warhorses, that are used. But there are always skaters doing other things, too.