Here is the full list of all 38 Sonic Superstars achievements.
Used Trip's double jump to defeat 100 enemies.
Cleared Zap Scrap in Frozen Base without taking damage.
Used Tails' aerial attack to defeat 100 enemies.
Used Knuckles' glide to defeat 100 enemies.
Used Amy's Hammer to defeat 100 enemies.
Used Sonic's Drop Dash to defeat 100 enemies.
Collected 10,000 Rings.
Collected 600 or more Rings from ACT "Fruit".
Defeated the true boss.
Cleared Trip's story.
Turned super using the 7 Chaos Emeralds.
Used the White Emerald power "Extra".
Used the Yellow Emerald power "Slow".
Used the Green Emerald power "Ivy".
Used the Goal Plate to reveal the hidden Item Box.
Cleared an ACT "Fruit".
Cleared all of EGG FORTRESS.
Cleared all of FROZEN BASE.
Cleared all of CYBER STATION.
Cleared all of GOLDEN CAPITAL.
Cleared all of PRESS FACTORY.
Used the Light Blue Emerald power "Water".
Cleared all of SAND SANCTUARY.
Used the Purple Emerald power "Vision".
Cleared all of LAGOON CITY.
Turned Lagoon City's Goal Plate into a pile of fruit.
Cleared all of PINBALL CARNIVAL.
Cleared 1 Bonus Stage.
Used the Red Emerald power "Bullet".
Cleared all of SKY TEMPLE.
Cleared all of SPEED JUNGLE.
Cleared all of BRIDGE ISLAND.
Collected 200 or more Rings when clearing a Stage.
Used the Blue Emerald power "Avatar".
Cleared a Stage with a friend.
Collected 100 Medals from Bonus Stages.
Defeated 1,000 enemies.
Defeated the gold enemies in all Stages.