Here is the full list of all 24 Penarium achievements worth 1,000 gamerscore. It takes around 6-8 hours to unlock all of the achievements on Xbox One.
Die 5 times in any single player mode.
Smash 20 barrels in a single arcade game in any arena.
Smash 50 barrels in a single arcade game in any arena.
Beat the Dragon's Nest challenge in campaign mode.
Smash 100 barrels in a single arcade game in any arena.
Smash 150 barrels in a single arcade game in any arena.
Complete the first arena in campaign mode.
Complete the second arena in campaign mode.
Complete the third arena in campaign mode.
Collect 6 cards.
Collect 10 cards.
Collect 14 cards.
Die 15 times in any single player mode.
Die 50 times in any single player mode.
Die 250 times in any single player mode.
Die a 1000 times in any single player mode.
Have 500 coins in your wallet.
Have 1000 coins in your wallet.
Have 2500 coins in your wallet.
Have 5000 coins in your wallet.
Die by a direct hit from an icicle while in mid air.
Beat the first balloon challenge in campaign mode.
Beat the first cauldrons challenge in the campaign mode.
Beat the boulder madness challenge in campaign mode.