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