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.
Collect 200 Rings with the Magenta Rhythm.
Collect 50 Rings with the Orange Rocket.
Fly for at least 30 seconds as the Crimson Eagle.
Perform 20 Drill Jumps with the Yellow Drill.
Defeat at least 5 enemies at once with a Black Bomb explosion.
Defeat 300 enemies. This is what you've trained for!
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
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!
Collect 3500 Rings. You can't ever have enough.
Clear 5 zones without taking any damage.
Clear 5 zones without losing a Life.
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.
In a single attack, use 6 or more lock-ons to defeat one or more enemies.
Defeat 20 enemies with the Indigo Asteroid.
Defeat 20 enemies with the Cyan Laser.
Defeat 30 enemies by Bouncing.
Earn at least 8 bonuses when you reach the goal.
Can you find 9 1-Ups? Keep coming back for more!
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!
Defeat Zor without taking damage in the world's final zone.
Clear a zone with at least 250 Rings.
Clear 3 zones without taking any damage.
Collect 2500 Rings. You can't ever have enough.
Defeat 20 enemies with the Spin Dash.
Defeat 200 enemies. They didn't know what hit 'em!
Collect 2250 Rings. You can't ever have enough.
Clear 3 zones without losing a Life.
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.
Clear a zone with at least 150 Rings.
Destroy 20 pieces of terrain with the Indigo Asteroid.
Wreak havoc for at least 20 seconds in Indigo Asteroid form.
Clear a zone without taking any damage.
Defeat 20 enemies by Bouncing.
Collect 50 Rings while in Yellow Drill form.
Collect 2000 Rings. You can't ever have enough.
See if you can clear a zone without defeating any enemies.
Defeat 100 enemies. You're really getting the hang of this!
Jump 100 times. Just keep going!
Defeat Master Zik without taking damage in the world's final zone.
Collect 50 Rings with the Black Bomb.
Collect 100 Rings with the Magenta Rhythm.
Clear a zone with at least 100 Rings.
Pull off at least 5 Wall Jumps in a row. You're getting good at this!
Collect 1750 Rings. Wow, that's impressive!
In a single attack, use 4 or more lock-ons to defeat one or more enemies.
Earn at least 5 bonuses when you reach the goal.
Defeat Zomom without taking damage in the world's final zone.
Clear a zone without losing a Life.
Clear a zone with at least 75 Rings.
Spin Dash for at least 5 seconds. Getting faster!
Run along the walls for at least 20 meters. Who needs gravity?
Collect 1500 Rings. You can't ever have enough.
Can you find 6 1-Ups? Keep going!
Defeat Zazz without taking damage in the world's final zone.
Defeat 75 enemies. This is what you've trained for!
Collect 10 Rings with the Orange Rocket.
Collect 50 Rings with the Crimson Eagle.
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 at least 3 enemies at once with a Black Bomb explosion.
Defeat 10 enemies with the Yellow Drill.
Defeat 10 enemies with the Spin Dash.
Collect 1000 Rings. A grand achievement!
Collect 100 Rings with the Indigo Asteroid.
Perform 5 Drill Jumps with the Yellow Drill.
Defeat 10 enemies by Bouncing.
Move along the ceiling for at least 5 seconds. Acrobat extraordinaire!
Earn at least 3 bonuses when you reach the goal.
Defeat an enemy with a Black Bomb explosion.
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.
Multi Lock-on to a single enemy and defeat it with a powerful Homing Attack.
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!
Defeat 50 enemies. This is what you've trained for!
Use the Indigo Asteroid to find a bonus room.
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.