For myself I found only MX player (all video player), but he is not able to read the tags of mp3 files. The rest are able to remember only one file from the directory.
In the end, we need a player that can:
1. Save the last position when playing any file.
2. To read the tags, including in Russian.
3. You can specify the folders with the files.
4. It is desirable that-there was a widget.