Bronze:

n00b 
Objective: Win 1 quick match! Welcome to the winning team!

Opportunist
Objective: Kill 10 opponents in a public match while they are affected by a Digi Grenade.

Tour of the City
Objective: Achieve a win in any game mode on every map in quick match games!

Field Officer
Objective: Reach the rank of Sergeant.

Commisioned Officer
Objective: Reach the rank of Second Lieutenant.

Command Officer
Objective: Reach the rank of Major.

Hack the Gibson
Objective: Hack every control point on every multiplayer map in quick match games.

Silver:

DodgeThis
Objective: Headshot 25 opponents while they are using HRV in quick match games.

Way of the Gun
Objective: Kill an opponent with their own weapon in a quick match. Ouch!

Flatten and Reinstall
Objective: Kill 25 opponents in quick match games while they are EMPed!

General
Objective: Achieve the rank of Brigadier General. Hats off to you!

Gold:

Gearhead
Objective: Unlock all gear and weapons!