Since cork takes a long time to renew, it makes sense to upcycle or recycle it. If you would like to upcycle the corks, try making them into a fun wreath or cork board. To recycle, you can send them to a program called Korks For Kids, a non-profit organization or to Yemm and Hart, a company that will recycle them into other products.
The mister and I enjoy our wine tasting together and as a tradition we keep every wine cork that we share in a large jar in our kitchen. We also keep corks from special occassions and write the name of the event on the date before tossing them into the jar! I have also seen them stored in shadow boxes and hung as amazing pieces of art.