Here is the full list of all 44 Super Puzzle Platformer Deluxe achievements.
100 percent complete
Defeated Beezleblock
Unlocked Beezleblock outfit (Defeated Beezleblock)
Got to power level 4 in Mansion Mania
Completed the flail II challenge
Completed the Glass Splitters challenge
Completed the homing missle challenge
Got to power level 4 in Icy Island
Completed the icicles challenge
Completed the firespinner challenge
Completed the flail challenge
Got to power level 4 in Retro Relic
Completed the cannon II challenge
100 Jewels Collected
Got to power level 4 in War of the Woods
Completed the fireball II challenge
Completed the fireball challenge
Got to power level 4 in Cookin' Caves
Completed the Tower Up challenge
Completed the TNT challenge
Survive 10 minutes in a single life
Unlocked Fighter outfit (Collected 3 stars in a single life)
Unlocked Rocket Launcher (Collected 500 block bits in a single life)
Got to power level 4 in Troublesome Tech
Completed the TNT II challenge
Completed the Tower Down challenge
Completed the chainsaw challenge
Completed the drill challenge
Unlocked Jetpack (collected 3 jewels in a single life)
Unlocked Duel Wield outfit (Collected 6 jewels in a single life)
Completed the cannon challenge
Completed the spikes challenge
Unlock Ninja outfit (collected 100 block bits in a single life)
Unlocked Cyborg outfit (Collected 10 stars in one life)
Die 1000 times
120 percent complete