Here is the full list of all 17 Machine Gun Fury achievements.
Died without a single kill
Complete Level 8
Complete Level 7
Complete Level 6
Complete Level 5
Complete Level 4
5 levels completed with 100% enemy kills
Complete Level 1 without using grenades.
Complete Level 3
500 enemy kills
Complete Level 2
2 levels completed with 100% enemy kills
100 tank kills
200 enemy kills
Complete Level 1
75 enemy kills
First enemy kill