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