Personally, I use an Amiga 1200 with 8Mb of fast RAM running OS3.0 for games/music applications, and that's just enough for almost everything! Of course, I miss my Blizzard 1230 for doing silly stuff like running Doom or whatever but in reality, if you're into music and classic games a machine with some extra RAM will do.
I have it fitted with a CF card for a hard drive and an SD card adapter, and these things really help.