Here is the full list of all 32 Venture Kid achievements.
Jump over 15 spiders.
Defeat 200 enemies.
Die 30 times.
Beat the eight level of the game.
Beat the seventh level of the game.
Break 100 blocks.
Use A special item to walk on spikes.
Beat the sixth level of the game.
Beat the fifth level of the game.
Make an enemy defeat another enemy.
Beat the fourth level of the game.
Reach a boss room without defeating any enemies.
Buy 5 different items in the shop.
Buy something in the shop.
Jump from a frozen enemy.
Beat the third level of the game.
Defeat a boss in under 30 seconds.
Beat the second level of the game.
Use the boomerang to collect an item.
Defeat a boss with only one heart left.
Beat the first level of the game.
Beat the final level of the game.
Find all the secret treasures.
Defeat one of every type of enemy.
Use the bottle to refill a weapon.
Reach a boss room without taking damage.
Defeat the boss without losing energy.
Defeat Teklov part II without collecting all the treasures.
Deal the final hit on Teklov using the shield.
Clear the game on normal.
Clear the game in under 45 minutes.
Clear the game on hard