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