Here is the full list of all 41 Planet Cube: Edge trophies - there are 26 bronze, 10 silver, 4 gold and 1 platinum.
Collect all trophies
Get 1 Collectable
Obtain 50% of the Collectables
Obtain all Collectables
Pass a checkpoint then die within 2 seconds
Complete Level 1
Complete Level 2
Complete Level 3
Complete Level 4
Complete Level 5
Complete Level 6
Complete Level 7
Complete Level 8
Beat the Game
Die 1 Time
Die 100 Times
Die 5000 Times
Do 30 Dash Jumps
Stun then stomp an flying enemy
Beat a level without missing a single shot
Play the game three days in a row
Die by stomping unstompable enemies 5 times
Beat 4 different levels in Hard Mode
Beat all levels in Hard Mode
Beat 1 level in Impossible Mode
Beat 1 level in Impossible Mode while getting all Collectables
Get 8 Bronze Medals in Time Trial Mode
Get 6 Silver Medals in Time Trial Mode
Get 3 Gold Medals in Time Trial Mode
Kill a Block Charger without hitting its Shield
Shoot 10000 times
Stun, shoot and stomp the same enemy
Dash 2500 times
Jump 5000 times
Stay in the air for 10 seconds without landing
Stun and Kill 100 Enemies
Stomp 25 Enemies while keeping your shot fully charged
View All Gallery Rewards
Stun and Kill your first enemy
Stomp 50 Enemies
Start the game and remain still for 30 seconds