tl;dr: Chromium is Chrome minus:
1. Crash/usage reporting to Google.
2. Proprietary video format support
3. Embedded Flash implementation (which doesn't exist on mobile anyway).
4. Google API keys.
If what you care about is security auditability, that's pretty good. If you care about running only open source software, that's going to be very hard to do in the Android/Google-Play ecosystem.