Here is the full list of all 34 Ninjin: Clash of Carrots trophies - there are 24 bronze, 2 silver, 7 gold and 1 platinum.
Defeat the Summoner in World 3.
Beat a stage without dashing.
Reach a combo of 100.
Defeat the Ice Troll in World 2.
Make Corgi Jr. dizzy in the shop.
Defeat General Jam in World 1.
Equip an accessory.
Play a stage in co-op mode.
Play in the Oni TV Show.
Clear wave 6 in stage 1-4 without taking damage.
Get an S-rank medal in a stage.
Defeat 100 enemies.
Clear stage 1-1.
Collect all trophies.
Venture into the Summoner's dark world.
Defeat the final boss Sum-Moe-Ner and clear the game.
Get an S-rank medal in every stage.
Collect 30 swords.
Collect all swords.
Collect 15 projectile items.
Collect all projectile items.
Collect 10 artifacts.
Collect all artifacts.
Collect 10 accessories.
Collect all accessories.
Beat stages using a sword of every class.
Reach wave 50 in the Oni TV Show.
Reach a combo of 500.
Cheat in Moe Jr.'s challenge in stage 4-4.
Beat a stage without using swords.
Beat a stage without using projectiles.
Defeat 3000 enemies.
Spend 20000 carrots at the shop.
Spend 1000 rainbow carrots at the shop.