Here is the full list of all 10 Mutant Mudds Deluxe trophies - there are 5 bronze, 4 silver and 1 gold.
Collect all of Grannie's medals
Unlock all characters
Collect all the spooky water sprites
Collect 4000 golden diamonds, unnecessarily
Collect all known water sprites and golden diamonds
Beat the game. You'll know it when you see it.
Unlock the path to space
Beat a REAL level without using the checkpoint (1-1 doesn't count!)
Beat a REAL level without getting hit (1-1 doesn't count!)
Beat a REAL level without dying once (1-1 doesn't count!)