Here is the full list of all 12 Abyssal Zone achievements.
Complete some block pushing puzzles (single-player only)
Use gears to your advantage (single-player only)
Bring stuff into the next stage (single-player only)
Use the Voodoo Unit (single-player only)
Achieve harmonic industrial chatter (single-player only)
Die to an Urchin (single-player only)
"I think that bagel killed it."
Get stuck (single-player only)
Complete the single-player mode
Play single-player mode as player 2
Collect all pearls in single-player mode
Collect all pearls in co-op mode