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