Here is the full list of all 31 Quaver achievements.
The base game contains 30 achievements, and there is 1 DLC pack containing 1 achievements.
Achieve a 100% score
Complete a map with all perfects or above
Play 1,000 times in a single game mode
Achieve a 150 overall performance rating in any game mode
Achieve a 300 overall performance rating in any game mode
Achieve a 500 overall performance rating in any game mode
Achieve a 600 overall performance rating in any game mode
Achieve a 700 overall performance rating in any game mode
Achieve an 800 overall performance rating in any game mode
Achieve a 900 overall performance rating in any game mode
Achieve a 1,000 overall performance rating in any game mode
Achieve a 2,500 combo on any map
Achieve a 7,500 combo on any map
Achieve a 10,000 combo on any map
Pass a map with a performance rating of 10 or more
Pass a map with a performance rating of 15 or more
Pass a map with a performance rating of 25 or more
Pass a map with a performance rating of 30 or more
Pass a map with a performance rating of 35 or more
Fail 1,000 times in any game mode
Reach top 100 global rank in any game mode
Achieve 1,000,000 total hits in any game mode
Achieve 100,000,000 total ranked score in any game mode
Complete a map with the 0.5x modifier enabled
Achieve a #1 score on any map
Complete a map with no marvelous judgements
Achieve a 25 overall performance rating in any game mode
Achieve a 1,000 combo on any map
Achieve a 500 combo on any map
Pass a map
Achieve a 5,000 combo on any map