Here is the full list of all 41 DreamBall trophies - there are 30 bronze, 5 silver, 5 gold and 1 platinum.
Play 100 matches
Use 250 items
Play 50 matches
Score 300 goals
Score 150 goals
Play 5 matches in Punch Party
Use 150 items
Hit all bags and players in 1 match in Punch Party
Use 75 items
Play 5 matches in Gearland
Play 1 match in Gearland without falling in lava
Play 5 matches in Shark's Reef
Don't get hit by the shark in Shark's Reef
Throw a bomb to any crab in Shark's Reef
Play 5 matches in Space Attack
Don't get hit by the Octopus Laser in Space Attack
Score 75 goals
Play 5 matches in Treasure Island
Use 25 items
Hit a player 300 times
Use 5 items
Find the treasure in Treasure Island
Play 10 matches
Play 10 matches in Greenfield
Hit a player 200 times
Hit a player 100 times
Hit a player 30 times
Jump 1000 times
Play 5 matches
Jump 500 times
Jump 350 times
Play 3 matches in Greenfield
Don't jump for one match
Jump 100 times in a single match
Jump 100 times
Jump 50 times
Score 10 goals
Hit a player 10 times
Score 1 goal
Unlock all DreamBall trophies
Play 250 matches