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 at least 5 enemies at once with a Black Bomb explosion.
Defeat Dr. Eggman without taking damage.
Collect 4500 Rings. You can't ever have enough.
Collect 200 Rings with the Magenta Rhythm.
Collect 50 Rings with the Orange Rocket.
Perform 20 Drill Jumps with the Yellow Drill.
Fly for at least 30 seconds as the Crimson Eagle.
Destroy 40 pieces of terrain with the Indigo Asteroid.
Collect 50 Rings with the Cyan Laser.
Defeat 100 enemies with Kicks. Now you're getting the hang of it!
Collect 4000 Rings. You can't ever have enough
Defeat 300 enemies. This is what you've trained for!
Clear a zone with at least 350 Rings.
Clear 5 zones without taking any damage.
Pull off at least 20 Wall Jumps in a row. That qualifies as mad skills!
Defeat 250 enemies. This is what you've trained for!
Jump 250 times. You're blasting off again!
Clear 5 zones without losing a Life.
Collect 3500 Rings. You can't ever have enough.
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.
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 Zor without taking damage in the world's final zone.
Defeat 30 enemies by Bouncing.
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!
Pull off at least 10 Wall Jumps in a row. Wow, you've got skills!
Clear 3 zones without taking any damage.
Collect 2500 Rings. You can't ever have enough.
Clear a zone with at least 250 Rings.
Can you find 9 1-Ups? Keep coming back for more!
Defeat 200 enemies. They didn't know what hit 'em!
Defeat Zeena without taking damage in the world's final zone.
Perform 10 Drill Jumps with the Yellow Drill.
Defeat 20 enemies with the Spin Dash.
Clear a zone with at least 200 Rings.
Clear 3 zones without losing a Life.
Collect 2250 Rings. You can't ever have enough.
Collect 50 Rings with the Black Bomb.
Collect 2000 Rings. You can't ever have enough.
Destroy 20 pieces of terrain with the Indigo Asteroid.
Clear a zone with at least 150 Rings.
Clear a zone without taking any damage.
Collect 50 Rings while in Yellow Drill form.
Defeat 20 enemies by Bouncing.
Defeat Master Zik without taking damage in the world's final zone.
See if you can clear a zone without defeating any enemies.
Jump 100 times. Just keep going!
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!
Collect 1750 Rings. Wow, that's impressive!
Clear a zone with at least 100 Rings.
Defeat Zomom without taking damage in the world's final zone.
In a single attack, use 4 or more lock-ons to defeat one or more enemies.
Wreak havoc for at least 20 seconds in Indigo Asteroid form.
Collect 1500 Rings. You can't ever have enough.
Spin Dash for at least 5 seconds. Getting faster!
Clear a zone without losing a Life.
Clear a zone with at least 75 Rings.
Run along the walls for at least 20 meters. Who needs gravity?
Earn at least 5 bonuses when you reach the goal.
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!
Defeat Zazz without taking damage in the world's final zone.
Collect 100 Rings with the Magenta Rhythm.
Collect 1250 Rings. You can't ever have enough.
Clear a zone with at least 50 Rings.
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.
Collect 1000 Rings. A grand achievement!
Perform 5 Drill Jumps with the Yellow Drill.
Defeat 10 enemies by Bouncing.
Move along the ceiling for at least 5 seconds. Acrobat extraordinaire!
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.
Use the Indigo Asteroid to find a bonus room.
Grab a ledge and climb up 5 times. It's climbing practice!
Multi Lock-on to a single enemy and defeat it with a powerful Homing Attack.
Pull off a Wall Jump. Serious ninja skills!
Defeat 50 enemies. This is what you've trained for!
Collect 10 Rings with the Cyan Laser.
Jump 30 times. Up, up, and away!
Run along the walls for at least 10 meters. Who needs gravity?
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.
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.