I'm currently having the same issue. The ANRs in the Google Play Console unfortuneately cut off the interesting parts. But I was able to kind of reproduce it once and adb logcat
gave me the following output:
W/ActivityManager( 340): Launch timeout has expired, giving up wake lock!
W/ActivityManager( 340): Activity idle timeout for HistoryRecord{40bb6948
which lead to the folling stackoverflow entry:
Activity Idle Timeout for ActivityRecord
The post suggests checking for a GlobalChangeListener causing a looping invalidation of the Activity Layout, which was the case at least for our app. This error doesn't always end in an ANR though:
https://groups.google.com/forum/?fromgroups=#!topic/android-developers/TfkPlN5b-ig
Maybe that helps!