I'm still not clear about what you're trying to do. You can organise your music any way that you want. Including this. Just set up a "Genres" playlist, and put all of your music in there. If you've got a lot of tracks by a particular artist, just create a playlist in that playlist, containing those tracks.

You can then select all music, a particular genre, or a particular artist in that genre.

However, like Bitt says: once you've selected your music, the player has absolutely no concept of playlists.