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

Still Broken (Bronze): Restored the first continent.
Looking Better (Bronze): Restored the second continent.
Still a Jigsaw Puzzle (Bronze): Restored the third continent.
Picking Up the Pieces (Bronze): Restored the fourth continent.
Almost There (Bronze): Restored the fifth continent.
One More to Go (Bronze): Restored the sixth continent.
Getting the Hang of Things (Bronze): Achieved an S Rank with Sonic the Hedgehog for the first time.
Creature of the Night (Bronze): Achieved an S Rank with Sonic the Werehog for the first time.
Helping Hand (Bronze): Completed all missions for a townsperson.
Lay the Smackdown (Bronze): Have mastered the Stomp technique.
Wall Crawler (Bronze): Have mastered the Wall Jump technique.
Airdevil (Bronze): Have mastered the Air Boost technique.
Hyperdrive (Bronze): Have mastered the Lightspeed Dash technique.
Basher (Bronze): Have attained Combat Level 5.
Smasher (Bronze): Have attained Combat Level 10.
Crasher (Bronze): Have attained Combat Level 15.
Thrasher (Bronze): Have attained Combat Level 20.
Day Tripper (Bronze): Cleared all Sonic the Hedgehog stages.
Hard Day's Night (Bronze): Cleared all Sonic the Werehog stages.
Get on the Exorcise Bandwagon (Bronze): Exorcised everyone.
Gyro with Relish (Bronze): Cleared all hot dog stand missions in Apotos.
Pig in a Blanket (Bronze): Cleared all hot dog stand missions in Spagonia.
Exotic Toppings (Bronze): Cleared all hot dog stand missions in Mazuri.
Sausage Fried Rice (Bronze): Cleared all hot dog stand missions in Chun-nan.
Iced Hotdog (Bronze): Cleared all hot dog stand missions in Holoska.
Kebab on a Bun (Bronze): Cleared all hot dog stand missions in Shamar.
Ketchup and Mustard (Bronze): Cleared all hot dog stand missions in Empire City.
Fried Clam Roll (Bronze): Cleared all hot dog stand missions in Adabat.
Hard Boiled (Bronze): Cleared all hot dog stand missions in Eggmanland.
First Time Customer (Bronze): Bought a product from Wentos.
Oh, You Shouldn't Have! (Bronze): Gave a souvenir to the Professor.
That's Enough, Seriously (Bronze): Gave all souvenirs to the Professor.
Hedgehunk (Bronze): Cleared the Louie Montaine missions in Empire City and the Ana missions in Mazuri.
I Ain't Afraid of No Ghost (Bronze): Cleared the Marcantonio missions in Spagonia.
Blue Meteor (Bronze): Dash through the white walls at top speed.
Partly Cloudy (Silver): Collected half of the Sun Medals.
Sunny (Silver): Collected all Sun Medals.
Half Moon (Silver): Collected half of the Moon Medals.
Full Moon (Silver): Collected all Moon Medals.
Blue Streak (Silver): Upgraded all of Sonic the Hedgehog's stats to their maximum levels.
Power Overwhelming (Silver): Upgraded all of Sonic the Werehog's stats to their maximum levels.
Social Butterfly (Silver): Talked to all townspeople.
Hungry Hungry Hedgehog (Silver): Got every type of food.
Ace Pilot (Silver): Cleared Act 1 of Tornado Defense without taking damage.
BFFs (Silver): Became best friends with Chip.
Speeding Ticket (Silver): Achieved 10,000 total combos.
Combo King (Silver): Collected 5,000 total rings.
Ring Leader (Silver): Defeated 1,000 enemies.
Knockout Brawler (Silver): Smash, smash, and smash some more.
World Savior (Gold): Cleared the game.
100% Clear (Platinum): This is the platinum trophy and is unlocked automatically when all the trophies have been unlocked.