Here is the full list of all 34 SwapQuest achievements.
Defeat 500 enemies.
Master an armor.
Master an ability.
King of the Slimes!
Master a weapon.
Find the hidden challenge level.
Collect 30.000 Jewels.
Use an active skill 100 times.
Defeat 200 Enemies.
Collect 15.000 Jewels.
Swap 5.000 Tiles.
Reach level 25.
Find all the hidden jewels.
Find the hidden boss.
Watch the credits.
Something's lurking in the dark.
Use an active ability 50 times.
Collect 5.000 Jewels.
Finish every challenge level.
Swap 2.500 Tiles.
Collect 999 Jewels in one level.
Defeat 100 enemies.
Reach your second class change.
Defeat Ulthros, the giant kraken!
Collect 1.000 Jewels.
Use an active ability 10 times.
Swap 1.000 Tiles.
Defeat 50 Enemies.
Use an active ability.
Reach your first class change.
Beat Xerberus, the three-headed hound!
Swap 500 Tiles.
Defeat Ghargon, the evil bug!
Defeat a midboss.