You can also try out a service done by my company just for that purpose (and a bit more) http://apphance.com . It allows not only to get crashes, but also logs, screenshots whenever tester reports a problem. It reports it to the cloud and lets developer to browse through the sessions/logs/crashes/issue reports using a useful web panel.
It is more targeted for testing part, but soon there will also be a production-version available. It is also cross-platform - not only Android but also iOS and soon more.
Disclaimer: I am CTO of Polidea, company behind Apphance, co-creator of the app.