Here is the full list of all 100 Sonic Lost World achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Collect 4500 Rings. You can't ever have enough.
Defeat Dr. Eggman without taking damage.
Collect 200 Rings with the Magenta Rhythm.
Collect 50 Rings with the Orange Rocket.
Perform 20 Drill Jumps with the Yellow Drill.
Collect 4000 Rings. You can't ever have enough
Fly for at least 30 seconds as the Crimson Eagle.
Defeat at least 5 enemies at once with a Black Bomb explosion.
Destroy 40 pieces of terrain with the Indigo Asteroid.
Collect 50 Rings with the Cyan Laser.
Defeat 300 enemies. This is what you've trained for!
Defeat 100 enemies with Kicks. Now you're getting the hang of it!
Clear a zone with at least 350 Rings.
Defeat 250 enemies. This is what you've trained for!
Pull off at least 20 Wall Jumps in a row. That qualifies as mad skills!
Clear 5 zones without taking any damage.
Collect 3500 Rings. You can't ever have enough.
Clear 5 zones without losing a Life.
Jump 250 times. You're blasting off again!
Collect 3000 Rings. An epic collection!
Defeat 30 enemies with the Spin Dash.
Spin Dash for at least 10 seconds. Spin Dash master!
Clear a zone with at least 300 Rings.
Defeat Zavok without taking damage in the world's final zone.
In a single attack, use 6 or more lock-ons to defeat one or more enemies.
Defeat 20 enemies with the Cyan Laser.
Earn at least 8 bonuses when you reach the goal.
Defeat 30 enemies by Bouncing.
Collect 2500 Rings. You can't ever have enough.
Defeat 20 enemies with the Indigo Asteroid.
Pull off at least 10 Wall Jumps in a row. Wow, you've got skills!
Defeat Zor without taking damage in the world's final zone.
Run along the walls for at least 30 meters. Gotta go fast!
Can you find 9 1-Ups? Keep coming back for more!
Clear a zone with at least 250 Rings.
Clear 3 zones without taking any damage.
Collect 2250 Rings. You can't ever have enough.
Defeat 200 enemies. They didn't know what hit 'em!
Defeat 20 enemies with the Spin Dash.
Perform 10 Drill Jumps with the Yellow Drill.
Clear a zone with at least 200 Rings.
Defeat Zeena without taking damage in the world's final zone.
Clear 3 zones without losing a Life.
Destroy 20 pieces of terrain with the Indigo Asteroid.
Collect 2000 Rings. You can't ever have enough.
Clear a zone with at least 150 Rings.
Clear a zone without taking any damage.
Defeat 20 enemies by Bouncing.
Collect 50 Rings while in Yellow Drill form.
Defeat 100 enemies. You're really getting the hang of this!
See if you can clear a zone without defeating any enemies.
Defeat Master Zik without taking damage in the world's final zone.
Jump 100 times. Just keep going!
Collect 1750 Rings. Wow, that's impressive!
Collect 50 Rings with the Black Bomb.
Clear a zone with at least 100 Rings.
Pull off at least 5 Wall Jumps in a row. You're getting good at this!
In a single attack, use 4 or more lock-ons to defeat one or more enemies.
Defeat Zomom without taking damage in the world's final zone.
Wreak havoc for at least 20 seconds in Indigo Asteroid form.
Collect 1500 Rings. You can't ever have enough.
Clear a zone with at least 75 Rings.
Clear a zone without losing a Life.
Spin Dash for at least 5 seconds. Getting faster!
Earn at least 5 bonuses when you reach the goal.
Run along the walls for at least 20 meters. Who needs gravity?
Defeat Zazz without taking damage in the world's final zone.
Can you find 6 1-Ups? Keep going!
Clear a zone with at least 50 Rings.
Defeat 75 enemies. This is what you've trained for!
Collect 50 Rings with the Crimson Eagle.
Collect 100 Rings with the Magenta Rhythm.
Collect 1250 Rings. You can't ever have enough.
Defeat 10 enemies with the Yellow Drill.
Wreak havoc for at least 30 seconds with the Yellow Drill.
Collect 10 Rings with the Orange Rocket.
Defeat 10 enemies with the Spin Dash.
Defeat at least 3 enemies at once with a Black Bomb explosion.
Defeat an enemy with a Black Bomb explosion.
Perform 5 Drill Jumps with the Yellow Drill.
Defeat 10 enemies by Bouncing.
Collect 1000 Rings. A grand achievement!
Move along the ceiling for at least 5 seconds. Acrobat extraordinaire!
Collect 100 Rings with the Indigo Asteroid.
Earn at least 3 bonuses when you reach the goal.
Destroy 10 pieces of terrain with the Indigo Asteroid.
Collect 10 Rings with the Cyan Laser.
Grab a ledge and climb up 5 times. It's climbing practice!
Pull off a Wall Jump. Serious ninja skills!
Multi Lock-on to a single enemy and defeat it with a powerful Homing Attack.
Use the Indigo Asteroid to find a bonus room.
Jump 30 times. Up, up, and away!
Defeat 50 enemies. This is what you've trained for!
Kick an enemy into another enemy. Give' em the boot!
Run along the walls for at least 10 meters. Who needs gravity?
Collect 750 Rings. Where are you keeping them all?!
Can you find 3 1-Ups? You can never have too many!
Collect 500 Rings. You can't ever have enough.
Spin Dash for at least 2 seconds. Practice makes perfect!
In a single attack, use 3 or more lock-ons to defeat one or more enemies.