Partisan politics drives us to look at differences. But during the time Rep. Paul Ryan served along side then-Sen. Joe Biden from 1999 to 2008, our VP candidates voted the same way on 52 substantive bills.
There are at least 111 bills in all in which Ryan and Biden voted the same way when you include appropriations/authorizations bills. For the full list, see this spreadsheet on Google Docs. There are, of course, many more bills on which they voted differently, and many more bills that did not come up for a vote in both chambers that they probably would have disagreed on had they had the chance.
Highlights include multiple votes for the PATRIOT Act and its reauthorizations, No Child Left Behind, TARP, and the 2008 stimulus bill.