This app was mentioned in 1 comment, with an average of 6.00 upvotes
Decked Builder with the collection feature (additional in-app purchase). It's not perfect, but it's pretty good. It doesn't track tokens, checklist cards or most special printings. Also English only cards as far as i can tell.
Demo version:
https://play.google.com/store/apps/details?id=com.deckedbuilder.deckedbuilder.demo
Full version: https://play.google.com/store/apps/details?id=com.deckedbuilder.deckedbuilder
Website: http://www.deckedbuilder.com/
I use it on multiple platforms (Windows, Android, and iOS) and use to sync using dropbox, but they removed that feature from the Android version due to dropbox API changes. So I currently sync between Windows and Android w/ google drive. The iOS version still has dropbox support.
I'm a little salty about the lack of iOS gdrive support and poor communication from them about implementing feature parity. But I still find it the best app for deck building and collection management. Let alone the best multi-platform option, if that is a concern.
One other downside is that each version is a separate purchase and the collection and camera scanning functions are add-on purchases for each one. None are particularly expensive though.