Here is the full list of all 34 WarpThrough achievements.
Warp 100 times!
Warp 500 times!
Warp 1000 times!
Get 30+ warps on all 8 story locations
Get 50+ warps on all 8 story locations
Get 30 warps in a single run
Get 50 warps in a single run
Get 80 warps in a single run
Go beyond 99 warps in a single run
Defeat a monster from each of the four initial dimensions in one run
Defeat 500 monsters
Reach warp 20 as Charlotte, only defeating monsters with down-ward attacks (single player)
Reach warp 20 as Three, defeating at least one enemy with every shot (single player)
Defeat 3 enemies with one attack from Charlotte or Three
Defeat 5 enemies with one attack from Charlotte or Three
Defeat 5+ monsters with Ball, only calling him once
Reach 10 warps without defeating any monsters
Reach 20 warps without defeating the first monster that spawned
Reach warp 20 with Manor, only placing your trail 5 or less times (single player)
Reach warp 30 without defeating any monster that spawned from the burning dimension
Reach warp 30 without defeating any monster that spawned from the crusty dimension
Reach warp 30 without defeating any monster that spawned from the ghastly dimension
Reach warp 30 without defeating any monster that spawned from the bubbly dimension
Snipin's a good job mate. Rotate Three's gun 1080 degrees before firing, and defeat an enemy