M-8 Avenger: Acquired during the Prologue.

M-15 Vindicator: In the "Priority: Mars" mission, just before entering the Archive chamber, you will see a small security room just off the main hallway. It is inside.

M-96 Mattock: In the "Grissom Academy: Investigation" mission, it is found after leaving the classroom; search the hallway with the red benches.

Phaeston: In the "Tuchanka: Turian Platoon" mission, it is found after chasing off a Harvester and running into some dead Turians in your path. Look near the bodies for this powerful weapon.

M-76 Revenant: In the "Priority: Citadel" mission, it is found before running into a Combat Engineer working on a latch. When you spot him, kill him, but do not work on the latch yourself. Turn around, and enter the restroom of the previous area to find this weapon.

Geth Pulse Rifle: In the "Priority: Perseus Veil" mission, it is found near the control room. It is on a shelf almost directly in your main path, just off to the right.

M-99 Saber: Acquired during the "Priority: Horizon" mission.

M-37 Falcon: Acquired during the "Priority: Cerberus HQ" mission.