Here is the full list of all 99 Q achievements worth 1,000 gamerscore. It takes around 80-100 hours to unlock all of the achievements on Xbox One.
Draw something
Clear up to PRIMARY 1 Q.4
Clear PRIMARY 1 Q.9
Complete all of PRIMARY 1
Complete all of PRIMARY 2
Complete all of PRIMARY 3
Complete all of SPECIAL 1
Complete all of SPECIAL 2
Complete all of SECRET 1
Clear SECRET 2 Q.38
Complete all of SECRET 2
Switched view and saw least amount of moves and number of players cleared
Secret Achievement
Draw 10 tonnes worth of line
Draw the same amount as the height of Mt. Fuji
Clear SECRET 1 Q.18 10 times
Clear everything but PRIMARY 1 Q.8 with only 1 move
Clear 10 Q's with only 1 move
Clear PRIMARY 2 Q.24 with only 1 move
Clear PRIMARY 2 Q.26 with only 1 move
Clear PRIMARY 2 Q.31 with only 1 move
Clear PRIMARY 2 Q.33 with only 1 move
Clear PRIMARY 2 Q.34 with only 1 move
Clear PRIMARY 2 Q.35 with only 1 move
Clear PRIMARY 2 Q.36 with only 1 move
Clear PRIMARY 2 Q.38 with only 1 move
Clear PRIMARY 3 Q.43 with only 1 move
Clear PRIMARY 3 Q.45 with only 1 move
Clear PRIMARY 3 Q.46 with only 1 move
Clear PRIMARY 3 Q.54 with only 1 move
Clear PRIMARY 3 Q.56 with only 1 move
Clear PRIMARY 3 Q.58 with only 1 move
Clear SECRET 1 Q.1 within 10 moves
Clear SECRET 1 Q.2 with only 1 move
Clear SECRET 1 Q.7 with only 1 move
Clear SECRET 1 Q.11 with only 1 move
Clear SECRET 1 Q.13 with only 1 move
Clear SECRET 1 Q.15 with only 1 move
Clear SECRET 1 Q.19 with only 1 move
Clear SECRET 1 Q.20 with only 1 move
Clear SPECIAL 1 Q.1 with only 1 move
Clear SPECIAL 1 Q.11 with only 1 move
Clear SPECIAL 1 Q.14 with only 1 move
Clear SPECIAL 1 Q.20 with only 1 move
Clear SECRET 2 Q.21 with only 1 move
Clear SECRET 2 Q.22 with only 1 move
Clear SECRET 2 Q.23 with only 1 move
Clear SECRET 2 Q.24 with only 1 move
Clear SECRET 2 Q.25 with only 1 move
Clear SECRET 2 Q.27 with only 1 move
Clear SECRET 2 Q.31 with only 1 move
Clear SECRET 2 Q.32 with only 1 move
Clear SECRET 2 Q.36 with only 1 move
Clear SECRET 2 Q.37 with only 1 move
Clear SPECIAL 2 Q.23 with only 1 move
Clear SPECIAL 2 Q.24 with only 1 move
Clear SPECIAL 2 Q.28 with only 1 move
Clear SPECIAL 2 Q.30 with only 1 move
Clear SPECIAL 2 Q.31 with only 1 move
Clear SPECIAL 2 Q.32 with only 1 move
Clear SPECIAL 2 Q.33 with only 1 move
Clear SPECIAL 2 Q.36 with only 1 move
Clear 30 Q's with only 1 move
Clear 55 Q's with only 1 move
Retried 50 times
Play for 10 hours