Successfully complete one of the following tasks to get a trophy:

Hero of Lave (Bronze): Arcade - Complete Planet Lave. 
Hero of Coventina (Bronze): Arcade - Complete Planet Coventina. 
Hero of Nemain (Bronze): Arcade - Complete Planet Nemain. 
Hero of Taranis (Bronze): Arcade - Complete Planet Taranis. 
Hero of Segomo (Bronze): Arcade - Complete Planet Segomo. 
The Tokenizer (Bronze): Arcade - Collect 5 tokens with a single boost. 
Scrooge MacBoom (Bronze): Arcade - Get 10 bombs. 
Token Hoarder (Silver): Arcade - Collect 15 tokens with a single boost. 
Well Prepared (Silver): Arcade - Get 20 bombs. 
Scenic Route (Silver): Arcade - Complete a Planet without using boost. 
Multiplier Hero (Gold): Arcade - Get 10x multiplier.