Hmm. Cut all of the corks into shorter cylinders, say quarters, using a stop in the saw or a jig and sharp knife (so that they are uniform in length, shorter and you get 4 per cork), then glue them on end in a round honeycomb or hex tile pattern on your floor. Belt sand (or hand held electric planner if necessary? ..need to experiment) to get a nice even finish. Maybe collect the resulting cork dust, add some white glue and use the mixture to 'grout' in any voids (need more cork dust? whack 'em on the belt sander).
Seems like a lot of work just to be thrifty, but would definitely be unique, very cool, and cushiony at the same time. Even provide some insulation value.
I like it!
Who's going to do all that work?

Make sure you post pic's!

Another option would be to cut them up coarsely then feed them through one of those old hand crank meat grinders (yard sale), add some ground up packing peanuts or other stuff for color variety, make a paste with a pliable setting glue, like white glue, and mud it into your floor like Terrazzo.

If you use the glue sparingly it might even be reasonably light weight and springy.