Here is the full list of all 24 Jump, Step, Step trophies - there are 6 bronze, 10 silver, 7 gold and 1 platinum.
Get all the trophies
Get the rotation platform puzzle without using branches
Get hit by a spike and die
Hop on the spaceship
Complete one run of the game without dying
Defeat Alice with 15 or less actions
Complete the up/down puzzle before the final boss with 5 instructions
Riding the cloud
Go down the tower with 6 instructions
Complete the puzzle before doing the bridge
Build a Bridge
Bob get all his limps back
Retrieve the arm using 12 or less actions
Complete the puzzle with 12 instructions
Climb the tower with 4 instructions
Do at least 100 actions with a single program
Beat the puzzle that there is a rock moving over the water with 7 instructions
Do the puzzle of the two double rotation slabs with 18 instructions
Solve the four spikes challenge
Do the puzzle before the water pool with 7 steps
Do the ZigZag puzzle with 7 steps
Unlock repeat actions
Reach the broken spaceship
Get the first piece of the spaceship without jumping