Here is the full list of all 26 Dogyuun achievements.
Completed the third stage
Completed the third stage without assistance
Completed the second stage
Completed the second stage without assistance
Completed the first stage
Completed the first stage without assistance
First death of many achieved
Play a hundred games
Accumulate a thousand deaths
Completed the fourth stage
Completed the fifth stage
Completed the sixth stage
Completed the seventh stage
Completed the eighth stage
Completed the ninth stage
Completed the game
Completed the fourth stage without assistance
Completed the fifth stage without assistance
Completed the sixth stage without assistance
Completed the seventh stage without assistance
Completed the eighth stage without assistance
Completed the ninth stage without assistance
Completed the game without assistance
Completed the game using a single credit
Completed the game using a single credit without assistance
Completed the game with two players using one credit each