Here is the full list of all 27 16bit vs Reality achievements.
Defeat Donatron
Defeat six or more enemies with one super-attack
Start a boss-fight with 1 heart and win
Complete a level without taking any damage
Lose your last heart to a factory stamp
Lose your last heart to the Big Boss' flamethrower
Die from the super-laser in the office
Fall into the very first pit of the game
Complete Stage 2-2 with three world-switches or less
Finish the train-ride on Hard difficulty without any damage
Pass the laser shaft in Stage 3-1 without taking damage
Find the Lantern
Find the Red Cap
Find the Golden Triangle
Find the Top Hat
Find the Empty Tank
Find the Running Shoes
Find the Strange Ball
Find the Missile
Find the Whip
Find the Eagle
Find the mysterious object
Find the Axe
Find the Can of Worms
Find the Barrel
Find the Lamp
Complete the whole story of the game