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