Here is the full list of all 20 Duke Nukem 3D: Megaton Edition achievements. It takes around 10-12 hours to unlock all of the achievements on Windows.
Find Luke Skywalker on "Lunar Reactor" level
Earn respect and get 500 total kills in Dukematch games (Online)
Get 250 total kills in Dukematch games (Online)
Get 100 total kills in Dukematch games (Online)
Complete "Duke Caribbean: Life's A Beach" on any difficulty
Complete "Duke: Nuclear Winter" on any difficulty
Find 70 secret areas
Complete "Duke It Out In D.C." on any difficulty
Kill 1000 enemies
Step on 40 enemies after using the Shrinker on them
Finish the "Hollywood Holocaust" level in under 3 minutes
Complete "The Birth" on any difficulty
Step in a pile of excrement
Complete "Shrapnel City" on any difficulty
Complete "Lunar Apocalypse" on any difficulty
Complete "L.A. Meltdown" on any difficulty
Use a cheat code
Find the Doomguy on "Death Row" level
Kill every enemy on a level
Tip an exotic dancer