There are 26 trophies that can be collected.

Bronze

Museum Master
Complete 'The Museum' Level as Megamind

Tickets Please
Complete 'The Underground' Level as Megamind

Uptown Hero
Complete 'Uptown' Level as Megamind

Assistant Collector
Collect 1000 B.I.N.K.E.Y. in any single level as Megamind

Lair Clean Up
Collect 150 B.I.N.K.E.Y. in the Lair as Megamind

Mega-Ball
Unlock the Mega-Ball mini-game as Megamind

Pod Race
Unlock the Pod Race mini-game as Megamind

Sticky Boots
Unlock the Sticky Boots mini-game as Megamind

Rampage
Unlock the Rampage mini-game as Megamind

Mega-Blast
Unlock the Mega-Blast mini-game as Megamind

Silver

Downtown Domination
Complete 'Downtown' Level as Megamind

Funky Fumes
Complete 'The Sewers' Level as Megamind

Hot Pavement
Complete 'The Overpass' Level as Megamind

Desctruction Derby
Defeat Desctruction Worker without dying as Megamind

Psychotic Win
Defeat Psycho Delic without dying as Megamind

Flash in the Pan
Defeat Hot Flash without dying as Megamind

Collector
Collect 2000 B.I.N.K.E.Y. in any single level as Megamind

Mega-Skill
Complete any story mission without dying as Megamind

Gold

Destruction Doom
Complete 'Demolition Site' Level as Megamind

Funky Disco
Complete 'Funky Disco' Level as Megamind

Hot Flash Puzzle
Complete 'The Parklands' Level as Megamind

Tame Blue Tighten
Complete 'Blue Tighten Battle' Level as Megamind

Tightanic Battle
Defeat Blue Tighten without dying as Megamind

Mega-Hero
Complete the Game as Megamind

Mega Collector
Collect 3000 B.I.N.K.E.Y. in any single level as Megamind

Platinum

Platinum Trophy
All Trophies obtained!

http://www.ps3trophies.org/game/megamind/trophies/