Though, I guess what I'm looking for is a software database to go along with exploits.
This might be a problem if you are looking for commercial uncompiled code. You may need to look into open source code. In which case this may help,
http://osvdb.org/.
From my limited experience in searching for vulnerable software I've noticed that vendors seem to omit them, or only offer a patched version in the download links.
Right, because the software is vulnerable. Preventing vulnerable software from being available reduces their liabilities.
I'll just keep Googling until I find a vulnerability + exploit combination that works.
That works too. You can also check out OWASP (
http://www.owasp.org). I'd consider them the leaders in open source security.