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.
Defeat Dr. Eggman without taking damage.
Fly for at least 30 seconds as the Crimson Eagle.
Collect 200 Rings with the Magenta Rhythm.
Collect 50 Rings with the Orange Rocket.
Perform 20 Drill Jumps with the Yellow Drill.
Destroy 40 pieces of terrain with the Indigo Asteroid.
Defeat at least 5 enemies at once with a Black Bomb explosion.
Collect 4000 Rings. You can't ever have enough
Collect 50 Rings with the Cyan Laser.
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.
Pull off at least 20 Wall Jumps in a row. That qualifies as mad skills!
Jump 250 times. You're blasting off again!
Defeat 250 enemies. This is what you've trained for!
Clear 5 zones without losing a Life.
Clear 5 zones without taking any damage.
Defeat Zavok without taking damage in the world's final zone.
Collect 3500 Rings. You can't ever have enough.
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!
Earn at least 8 bonuses when you reach the goal.
In a single attack, use 6 or more lock-ons to defeat one or more enemies.
Defeat 20 enemies with the Cyan Laser.
Defeat 30 enemies by Bouncing.
Defeat Zor without taking damage in the world's final zone.
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!
Collect 2500 Rings. You can't ever have enough.
Defeat 200 enemies. They didn't know what hit 'em!
Clear a zone with at least 250 Rings.
Can you find 9 1-Ups? Keep coming back for more!
Clear 3 zones without taking any damage.
Defeat Zeena without taking damage in the world's final zone.
Collect 2250 Rings. You can't ever have enough.
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.
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.
Collect 2000 Rings. You can't ever have enough.
Defeat Master Zik without taking damage in the world's final zone.
Collect 50 Rings with the Black Bomb.
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!
Clear a zone with at least 100 Rings.
Defeat Zomom without taking damage in the world's final zone.
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.
Clear a zone without losing a Life.
Wreak havoc for at least 20 seconds in Indigo Asteroid form.
Clear a zone with at least 75 Rings.
Defeat Zazz without taking damage in the world's final zone.
Spin Dash for at least 5 seconds. Getting faster!
Collect 1500 Rings. You can't ever have enough.
Earn at least 5 bonuses when you reach the goal.
Run along the walls for at least 20 meters. Who needs gravity?
Can you find 6 1-Ups? Keep going!
Defeat at least 3 enemies at once with a Black Bomb explosion.
Collect 50 Rings with the Crimson Eagle.
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.
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.
Move along the ceiling for at least 5 seconds. Acrobat extraordinaire!
Collect 1000 Rings. A grand achievement!
Defeat 10 enemies by Bouncing.
Collect 100 Rings with the Indigo Asteroid.
Multi Lock-on to a single enemy and defeat it with a powerful Homing Attack.
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.
Grab a ledge and climb up 5 times. It's climbing practice!
Collect 10 Rings with the Cyan Laser.
Defeat 50 enemies. This is what you've trained for!
Can you find 3 1-Ups? You can never have too many!
Jump 30 times. Up, up, and away!
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?
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!