The Android version of the Anki Drive app can crash if ART is set as the default Android runtime instead of Dalvik.
To switch from ART to Dalvik go to Settings-->Developer Options. Look for "Select runtime system" or "Select runtime". If it currently reads Use ART, select it and choose Use Dalvik.
Note: Changing this setting will require a full reboot of the Android device and optimization of all apps. As such this can take 15-20minutes.