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.
Perform 20 Drill Jumps with the Yellow Drill.
Defeat Dr. Eggman without taking damage.
Collect 200 Rings with the Magenta Rhythm.
Collect 50 Rings with the Orange Rocket.
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.
Defeat 300 enemies. This is what you've trained for!
Collect 50 Rings with the Cyan Laser.
Collect 4000 Rings. You can't ever have enough
Clear a zone with at least 350 Rings.
Defeat 100 enemies with Kicks. Now you're getting the hang of it!
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!
Collect 3500 Rings. You can't ever have enough.
Clear 5 zones without taking any damage.
Jump 250 times. You're blasting off again!
Clear 5 zones without losing a Life.
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.
Collect 3000 Rings. An epic collection!
Defeat Zavok without taking damage in the world's final zone.
Defeat 20 enemies with the Cyan Laser.
In a single attack, use 6 or more lock-ons to defeat one or more enemies.
Defeat 30 enemies by Bouncing.
Pull off at least 10 Wall Jumps in a row. Wow, you've got skills!
Earn at least 8 bonuses when you reach the goal.
Defeat 20 enemies with the Indigo Asteroid.
Run along the walls for at least 30 meters. Gotta go fast!
Defeat Zor without taking damage in the world's final zone.
Collect 2500 Rings. You can't ever have enough.
Clear a zone with at least 250 Rings.
Collect 50 Rings with the Black Bomb.
Can you find 9 1-Ups? Keep coming back for more!
Clear 3 zones without taking any damage.
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.
Clear 3 zones without losing a Life.
Defeat Zeena without taking damage in the world's final zone.
Destroy 20 pieces of terrain with the Indigo Asteroid.
Collect 2250 Rings. You can't ever have enough.
Clear a zone with at least 150 Rings.
Clear a zone without taking any damage.
Collect 2000 Rings. You can't ever have enough.
Collect 50 Rings while in Yellow Drill form.
Defeat 20 enemies by Bouncing.
Jump 100 times. Just keep going!
See if you can clear a zone without defeating any enemies.
Clear a zone with at least 100 Rings.
Defeat Master Zik without taking damage in the world's final zone.
Defeat 100 enemies. You're really getting the hang of this!
Pull off at least 5 Wall Jumps in a row. You're getting good at this!
Defeat Zomom without taking damage in the world's final zone.
Collect 1750 Rings. Wow, that's impressive!
In a single attack, use 4 or more lock-ons to defeat one or more enemies.
Defeat Zazz without taking damage in the world's final zone.
Wreak havoc for at least 20 seconds in Indigo Asteroid form.
Clear a zone without losing a Life.
Clear a zone with at least 75 Rings.
Spin Dash for at least 5 seconds. Getting faster!
Earn at least 5 bonuses when you reach the goal.
Collect 1500 Rings. You can't ever have enough.
Run along the walls for at least 20 meters. Who needs gravity?
Can you find 6 1-Ups? Keep going!
Collect 50 Rings with the Crimson Eagle.
Defeat 75 enemies. This is what you've trained for!
Collect 100 Rings with the Magenta Rhythm.
Defeat at least 3 enemies at once with a Black Bomb explosion.
Clear a zone with at least 50 Rings.
Wreak havoc for at least 30 seconds with the Yellow Drill.
Collect 1250 Rings. You can't ever have enough.
Defeat an enemy with a Black Bomb explosion.
Defeat 10 enemies with the Yellow Drill.
Defeat 10 enemies with the Spin Dash.
Collect 10 Rings with the Orange Rocket.
Perform 5 Drill Jumps with the Yellow Drill.
Collect 1000 Rings. A grand achievement!
Defeat 10 enemies by Bouncing.
Collect 100 Rings with the Indigo Asteroid.
Move along the ceiling for at least 5 seconds. Acrobat extraordinaire!
Earn at least 3 bonuses when you reach the goal.
Destroy 10 pieces of terrain with the Indigo Asteroid.
Use the Indigo Asteroid to find a bonus room.
Grab a ledge and climb up 5 times. It's climbing practice!
Pull off a Wall Jump. Serious ninja skills!
Collect 10 Rings with the Cyan Laser.
Multi Lock-on to a single enemy and defeat it with a powerful Homing Attack.
Run along the walls for at least 10 meters. Who needs gravity?
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!
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.
In a single attack, use 3 or more lock-ons to defeat one or more enemies.
Spin Dash for at least 2 seconds. Practice makes perfect!