Achievement list according to Achieve360Points.com:
1. Piece of Cake - 25 Points
Complete "L.A. Meltdown" on any difficulty or in co-op.
2. Let's Rock - 25 Points
Complete "Lunar Apocalypse" on any difficulty or in co-op.
3. Come Get Some - 25 Points
Complete "Shrapnel City" on any difficulty or in co-op.
4. Game Over - 25 Points
Complete "The Birth" on any difficulty or in co-op.
5. Duke's Mighty Foot - 10 Points
Step on 40 enemies after using the Shrinker on them.
6. Looks Like Cleanup on Aisle 4 - 10 Points
Step in a pile of excrement.
7. Shake It Baby - 10 Points
Tip an exotic dancer.
8. Oomph, Uugh, Where is it? - 10 Points
Find 70 secret areas.
9. Alien Maggots are Gonna Pay - 10 Points
Finish the "Hollywood Holocaust" level in under 3 minutes.
10. Gonna Rip Em' a New One - 10 Points
Get 100 total kills in ranked Dukematch games (Online).
11. See You in Hell - 15 Points
Get 250 total kills in ranked Dukematch games (Online).
12. Hail to the King, Baby - 25 Points
Earn respect and get 500 total kills in ranked Dukematch games (Online).