Here is the full list of all 14 Seishin - there are Virtual Rhythm achievements.
Complete 1000 songs.
Complete 500 songs.
Complete 100 songs.
Complete a song with a max combo of 1000 or higher.
Complete a song with a max combo of 100 or higher.
Complete a song with a max combo of 500 or higher.
Complete 10 songs.
Achieve a perfect score in any song.
Complete 1 song.
Full combo a song without any Decent judgements.
Full combo a song.
Complete a 5 star difficulty song.
Complete a 7 star difficulty song.
Complete a 9 star difficulty song.