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