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