Here is the full list of all 39 Rad Rodgers achievements.
Defeat Mother Nature in 4 minutes
Unlock all Artwork
Complete W1L7 100%
Collect all Lion Trophies
Visit all huts
Complete Pogo Vertigo 3 100%
Collect all Gems in the game
Complete W1L6 100%
Drown 5 times
Find the Dopefish
Complete Pogo Vertigo 2 100%
Complete W1L4 100%
Use the Photo Mode
Push 5 enemies to their deaths
Complete W1L2 100%
Dusty Slam every kind of enemy
Watch all the credits
Complete and kill all enemies in a level only using Dusty Slam
Complete Pogo Vertigo 1 100%
Complete W1L1 100%
Complete a level without dying
Complete W1L1
Find the Excalibat
Skip a cutscene
Collect a Lion Trophy
Find a Secret Area
Complete W1L3 100%
Complete W1L5 100%
Complete W1L9 100%
Complete Jungle World 100% on Normal mode
Find all Secret Areas
Complete a level without killing a single enemy.
Kill every single enemy in the entire game, no enemies left alive
Complete Jungle World 100% on Hard Mode
Complete Jungle World 100% on Easy Mode
Complete W1L8 100%
Defeat the first Boomer in less than 30 seconds
Defeat the second Boomer in less than 30 seconds
Find all Hats