Here is the full list of all 22 Cybarian: The Time Travelling Warrior trophies - there are 6 bronze, 7 silver, 8 gold and 1 platinum.
Get all other trophies
Destroy a Laser Eye
Reach the 1st boss in Hard Difficulty
Reach the 3rd boss
Defeat the 2nd boss
Reach the 2nd boss
Defeat a cyborg-looking enemy
Buy 5 hearts
Defeat a fat enemy
Play a slot game
Defeat the 1st boss
Reach the 1st boss
Buy 3 hearts
Defeat a bomb launcher enemy
Buy 1 heart
Get 40 coins
Defeat a rifle enemy
Complete a full combo
Get 20 coins
Get a coin
Defeat a bandana-enemy
Hit a homless guy