Here is the full list of all 25 Frederic: Resurrection of Music Directors Cut achievements.
Finish the 1st level
Hit 3 gold notes on one level
Get the perfect bonus 3 times on one level
Finish the 2nd level
Finish the 3rd level
Finish the 4th level
Finish the 5th level
Finish the 6th level
Finish the 7th level
Finish the 8th level
Finish the 9th level
Finish the 10th level
Finish the 11th level
Hit 50 at least excellent notes
Finish the level with an imposible score
Get 10 combos in a row
Finish the game on the normal level
Finish the game on the expert level
Finish the game on the Chopin level
Finish the game without letting your enemy perform a special attack
Defeat Frederic in Multiplayer
Win 10 multi player games
Get all three stars in three levels in multi player
Defeat every character in multi player
Win in every available country in multi player