The developers of MediaMonkey keep improved the media player app for Android. Build 225 fixes playback skipping issues, booking marking issues and fixes problems with the back button. MediaMonkey syncs thing like media file info and play history with the desktop version of the app and is free from the Google Play Store.
Fixed playback occasionally skips
Fixed bookmarking can fail in Now Playing list view
Fixed ‘Back’ sometimes goes to the previous track instead of the beginning of the current track
Note: For Wi-Fi sync, use MediaMonkey for Windows build 188.8.131.522