Password manager Lastpass can store and fill in your login information on Android, but only if you have the (very cheap) premium plan. The app has been well-maintained, though, and was one of the first to get ready for Android 6.0. In this case, that means support for fingerprint sensors on Marshmallow. After enabling this feature, you can authorize username and password autofill with a tap on the sensor.
Lastpass (free plus subscription)