Here is the full list of all 39 99Vidas (EU) trophies - there are 18 bronze, 17 silver, 3 gold and 1 platinum.
Finish the game in the Normal Difficulty Setting
Finish the game with a couple
Finish the game with 2-4 players in co-op, either local or online
Win a Match on Versus Mode (either Local or Online)
Acquire all upgrades for Dan
Acquire all upgrades for all characters (unlockable included)
Acquire all upgrades for Mike
Finish the game with Sadiv66
Acquire all upgrades for Sadiv66
Finish the game with Hannah, Trish, DeeDee and Rey
Acquire all upgrades for Rey
Acquire all upgrades for DeeDee
Acquire all upgrades for Trish
Acquire all upgrades for Hannah
Finish the game with Mike and Dan
Finish the game with King, Izzy, Fries and Oak!
Finish the game with Izzy in the Izzy Difficulty Setting
Acquire all upgrades for Oak!
Acquire all upgrades for Fries
Acquire all upgrades for Izzy
Finish the Game without using Magic (Super)
Beat the Final Boss (Final Form)
Beat the Final Boss
Beat the Fifth Boss
Beat 99 of the same enemy type
Acquire all upgrades for King
Use a total of 99 lives in game (cumulative through multiple playthroughs)
Reach the Second Bonus Stage
Beat the Fourth Boss
Beat the Third Boss
Reach the First Bonus Stage
Beat the Second Boss
Beat Miss Grace
Beat the First Boss
No germs are fast enough to keep you from grabbing a bite from the floor
Find out there's no such thing as 99lives
Prove you're worthy of the 99vidas by earning all the Trophies
Finish the game in the Hard Difficulty Setting
Finish the game in the Elite Difficulty Setting