I took the time to compile a list of weapons capable of being used in Year Two content based on their lack of aim-assistance. [b]EDIT:[/b] April Update, approved.
[u][b]Primaries[/b][/u]
[b]Auto-rifles[/b]
[spoiler]The Dealbreaker, 36
Grim Citizen III, 37
Questing Beast, 40
SUROS Regime, 40
Antipodal Hindsight, 45[/spoiler]
[b]Hand-cannons[/b]
[spoiler]The Last Word, 30 (exotic perk may increase assistance)
The Vanity, 41
Eyasluna , 50
Hawkmoon, 50
Uffern HC4, 50[/spoiler]
[b]Pulse-rifles[/b]
[spoiler]Smite of Merain, 21
Lyudmila-D, 30
No Time to Explain, 40
Spare Change.25, 50
Herja-D, 50[/spoiler]
[b]Scout-rifles[/b]
[spoiler]Last Extremity, 21
Colovance's Duty, 26
Hung Jury SR4, 26
Cocytus SR4, 36
Badger CCL, 39[/spoiler]
[u][b]Secondaries[/b][/u]
[b]Fusion-rifles[/b]
[spoiler]Hitchhiker FR4, 30
Darkblade's Spite, 36
Elevating Vision, 39
Midha's Reckoning, 39
Telesto, 40[/spoiler]
[b]Sidearms[/b]
[spoiler]Ironwreath-D, 71 (lol)
JabberHäkke-D, 80
Queen's Choice, 80
Havoc Pigeon, 85
Crow's Eye, 85[/spoiler]
[b]Shotguns[/b]
[spoiler]In Times 0f Need, 0 [b]![/b]
Conspiracy Theory-D, 26
Her Champion, 35
Binary Dawn, 40
Deidris's Retort, 40[/spoiler]
[b]Sniper-rifles[/b]
[spoiler]Eirene RR4, 21
Uzume RR4, 31
Tao Hua Yuan, 36
Extrasolar RR4, 36
Black Spindle, 39[/spoiler]
[u][b]Heavies[/b][/u]
[b]Machine Guns[/b]
[spoiler]Bane of the Taken, 29
Super Good Advice, 30
Zombie Apocalypse WF47, 50
The Variable, 51
Baron's Ambition, 52[/spoiler]
[b]Rocker-launchers[/b]
[spoiler]Admonisher III, 5
Choleric Dragon SRT-49, 11
Dragon's Breath, 25
The Hothead, 25
Elulim's Frenzy, 29[/spoiler]
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Good list for info :)