This app was mentioned in 4 comments, with an average of 2.75 upvotes
Free: Hactar Go Lite Premium: Crazy Stone Pro https://play.google.com/store/apps/details?id=jp.co.unbalance.android.gocsdl
make sure you already download the SGFs for lifetime study at http://tsumegodojo.wordpress.com
The Old Champion Go app does not offer the analysis feature. Only the new Deep Learning version has it: https://play.google.com/store/apps/details?id=jp.co.unbalance.android.gocsdl
The strongest AI, with nice features, is 'Crazy Stone Deep Learning' https://play.google.com/store/apps/details?id=jp.co.unbalance.android.gocsdl&hl=en_GB
beside shown levels, this app has the best engine on android:
https://play.google.com/store/apps/details?id=jp.co.unbalance.android.gocsdl
Free Version without analyze function
https://play.google.com/store/apps/details?id=jp.co.unbalance.android.gocsdllite
Older "full" version
https://play.google.com/store/apps/details?id=jp.co.unbalance.android.igoen