Here is the full list of all 21 Super Comboman: Smash Edition trophies - there are 6 bronze, 6 silver, 8 gold and 1 platinum.
1000 Smashes Given
100 Dodoco workers defeated
50 Wall Smashed
Make it through a stage with full health bar
Parry 50 Attacks
50 Crates Smashed
100 Hit Combo Achieved
Complete 1st Stage
You collected all the cute little trophies
50 Fireballs hit enemies
100 Fire Uppercuts hit enemies
100 Back Smashes Delivered
Purchased every perk in the combo store
Consume one of each of the health pick up
50 Hit Combo during the first Gorilla Grip Battle
50 Hit Combo during Boss P Battle
50 Hit Combo during Fapjack Battle
Buy all moves and perks
Collect all stickers in game
Get highest rating on every stage
Complete the game