Here is the full list of all 27 Duke Nukem 3D: 20th Anniversary Edition World Tour achievements worth 1,000 gamerscore.
Complete "Alien World Order" on any difficulty.
Carry all weapons with ammo at once.
Find Sam in "Mirage Barrage".
Burn 50 bad guys to death.
Kill a Firefly Trooper while it's flying small.
Use the hookah in High Times.
Complete "The Birth" on any difficulty.
Use the Incinerator
Complete "Shrapnel City" on any difficulty.
Find Luke in the Level "Lunar Reactor"
Use a cheat code.
Complete "Lunar Apocalypse" on any difficulty.
Find 70 secret areas.
Kill 10 bad guys in 10 seconds while on steroids.
Kill 1000 enemies.
Step on 40 enemies after using the Shrinker on them.
Kill 5 bad guys with one shot.
Step in a pile of excrement.
Listen to Developer Commentary (Use at least one trigger).
Finish the "Hollywood Holocaust" level in under 3 minutes.
Finish any level on "Damn, I'm Good" difficulty.
Complete "L.A. Meltdown" on any difficulty.
Finish a secret level.
Find the Doomguy in the Level "Death Row"
Tip an exotic dancer.
Kill every enemy on a level.
Find a secret area.