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