Here is the full list of all 18 Frederic: Resurrection of Music achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
Finish the level with an imposible score
Finish the game without letting your enemy perform a special attack
Get 10 combos in a row
Finish the 9th level
Finish the game on the normal level
Finish the game on the expert level
Finish the game on the Chopin level
Finish the 8th level
Finish the 7th level
Finish the 6th level
Finish the 5th level
Finish the 4th level
Finish the 3rd level
Finish the 2nd level
Hit 50 at least excellent notes
Finish the 1st level
hit 3 gold notes on one level
Get the perfect bonus 3 times on one level