Here is the full list of all 76 A.V.A. - there are Alliance of Valiant Arms achievements.
Level Up to Staff Sergeant Rank
Level Up to Second Lieutenant Rank
Level Up to Major Rank
Level Up to Brigadier General
Collected 15 kinds of badges at least once
Collected 15 medals or more
Played at least 1 Demolition Mission match
Played at least 1 Convoy Mission match
Played at least 1 Escape Mission match
Played at least 1 Annihilation Mission match
Played at least 1 Escort Mission match
Played at least 1 Cross Steal Mission match
Played at least 1 Domination Mission match
Played at least 1 Free-For-All Mission match
Played at least 1 Infection Mission match
100 kills achieved with Point Man primary weapon
500 kills achieved with Point Man primary weapon
2500 kills achieved with Point Man primary weapon
10000 kills achieved with Point Man primary weapon
100 kills achieved with Rifle Man primary weapon
500 kills achieved with Rifle Man primary weapon
2500 kills achieved with Rifle Man primary weapon
10000 kills achieved with Rifle Man primary weapon
100 kills achieved with Sniper primary weapon
500 kills achieved with Sniper primary weapon
2500 kills achieved with Sniper primary weapon
10000 kills achieved with Sniper primary weapon
20 Headshot kills achieved
100 Headshot kills achieved
500 Headshot kills achieved
2500 Headshot kills achieved
20 kills achieved with secondary weapon
100 kills achieved with secondary weapon
500 kills achieved with secondary weapon
2500 kills achieved with secondary weapon
5 kills achieved with melee weapon
20 kills achieved with melee weapon
100 kills achieved with melee weapon
500 kills achieved with melee weapon
10 kills achieved with grenades
Grenade 2
250 kills achieved with grenades
1000 kills achieved with grenades
50 deaths recorded in battle
200 deaths recorded in battle
1000 deaths recorded in battle
5000 deaths recorded in battle
1 hour of playtime recorded in round based mission matches
5 hours of playtime recorded in round based mission matches
20 hours of playtime recorded in round based mission matches
100 hours of playtime recorded in round based mission matches
1 hour of playtime recorded in Annihilation mission matches
5 hours of playtime recorded in Annihilation mission matches
20 hours of playtime recorded in Annihilation mission matches
100 hours of playtime recorded in Annihilation mission matches
1 hour of playtime recorded in Escort mission matches
5 hours of playtime recorded in Escort mission matches
20 hours of playtime recorded in Escort mission matches
100 hours of playtime recorded in Escort mission matches
1 hour of playtime recorded in Military Drill mission matches
5 hours of playtime recorded in Military Drill mission matches
20 hours of playtime recorded in Military Drill mission matches
100 hours of playtime recorded in Military Drill mission matches
1 hour of playtime recorded in Infection mission matches
5 hours of playtime recorded in Infection mission matches
20 hours of playtime recorded in Infection mission matches
100 hours of playtime recorded in Infection mission matches
Level Up to Private Rank
Play Point Man
Played at least 1 AI Demolition Mission match
1st time playing as a Rifle Man
Played at least 1 Co-op Scenario Mission match
Played at least 1 Suppression Mission match
Successfully create a character
1st time playing as a Sniper
1st game played after creating character