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.
Pass a map
Achieve a 25 overall performance rating in any game mode
Achieve a 500 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
Achieve 100,000,000 total ranked score in any game mode
Complete a map with all perfects or above
Achieve a 300 overall performance rating in any game mode
Pass a map with a performance rating of 25 or more
Achieve a 150 overall performance rating in any game mode
Reach top 100 global rank in any game mode
Achieve a 1,000 combo on any map
Achieve a 100% score
Play 1,000 times in a single 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 30 or more
Pass a map with a performance rating of 35 or more
Fail 1,000 times in any game mode
Achieve 1,000,000 total hits 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 5,000 combo on any map