Here is the full list of all 37 Romino's Adventure achievements.
A brand new miserable day
Don't use the main path in the second room of 1-2
Get to the floor in the last room of 1-3
Reach the highest point in the second room of 1-5
Complete world 1
Don't toss away any crabs in 2-1
Don't toss away any crabs in 2-3
Don't toss away any crabs in 2-4
Don't use any pieces to clear the second room of 2-5
Use cheats to clear 2-5
Don't toss away any crabs in 2-5
Complete world 2
Complete world 3
Do an epic trick in 4-1
Don't let any piece fall onto the spikes in 4-1
Don't let any piece fall onto the spikes in 4-2
Nail four poles in one drop
Clear 4-4 using only one piece in each room
Ignore the puzzle in the last room of 4-5
Complete world 4
Get through the lasers pit using only two pieces in 5-1
Break the two pieces in the second room of 5-2
Complete world 5
Break all the cracked blocks in the first room of 6-1
Clear 6-2 without breaking any cracked blocks
Break 45 cracked blocks in one drop
Complete world 6
Beat the first room of 7-5 using only one piece
Complete world 7
Clear the second room of 7-1 after breaking all the cracked blocks
Carry a crab :O
Get the crab to the place it belongs by brute force in the first room of 7-6
Reach the highest point in the fourth room of 8-7
Use a sick speedrun strat in the second room of 8-8
Use a piece as a light in the third room of 8-8
Fall onto the cake without touching the floor at the end of 8-8
Complete world 8