Hmmm. "I Want to Ride My Bicycle" by Queen is the one I normally hear at bike events. There's "Daisy Daisy", google it if you're not familiar with it. It's sure not classical, but I guess it's old. "Get on your bikes and ride!" is a line from another song. Otherwise, not a lot comes to mind. Old single-speed bikes don't make much of a noise to incorporate into music. And not much rhymes with bicycle.