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