Here is the full list of all 47 Sonic Colors: Ultimate achievements.
Unlock All Achievements
Complete Challenge Mode
Defeat Captain Jelly With Less Than 3 Hits
Defeat Admiral Jelly With Less Than 3 Hits
Break Every Rank From D to S on the Results Screen
Complete Any Act Without Picking Up Any Rings
Get 100% in Terminal Velocity
Get an "S" Rank Against Nega-Wisp Armor
Get 100% in Planet Wisp
Defeat Refreshinator With Less Than 3 Hits
Get 100% in Starlight Carnival
Get 100% in Aquarium Park
Get 100% in Sweet Mountain
Get 100% in Asteroid Coaster
Get an "S" Rank Against Frigate Skullian
Get 100% in Tropical Resort
Defeat Rotatatron With Less Than 3 Hits
Finish Any Act As Super Sonic
Collect the Cyan Chaos Emerald
Collect All 180 Red Star Rings
Collect the Blue Chaos Emerald
Collect the Red Chaos Emerald
Collect the Purple Chaos Emerald
Set a personal best, and then break all of the numbers on the Results screen
Collect the Silver Chaos Emerald
Collect the Green Chaos Emerald
Collect the Yellow Chaos Emerald
Collect 300 Rings in One Run
Collect all 30 Red Star Rings From Any Area
Play Through the Credits Level
Complete Terminal Velocity
Complete Asteroid Coaster
Complete Aquarium Park
Collect All 5 Red Star Rings in Any Level
Grab All 5 Red Star Rings in One Run on Any Act
Complete Planet Wisp
Complete Starlight Carnival
Get an "S" Rank Against Frigate Orcan
Get an "S" Rank on Any Act
Score 100,00 Points In One Run Using Quick Step
Complete Sweet Mountain
Destroy 100 Enemies Using Sweet Spot Homing Attacks
Complete Tropical Resort
Destroy 100 Enemies Using Homing Attacks
Beat A Previous Personal Best On Any Level
Destroy 50 Enemies Using Homing Attacks
Get an "A" Rank on Any Act