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