As in, what weapons do your characters carry with them into battle. Feel free to describe the Legendary Modifiers, and even whatever you named them. For my characters:
Doomgal: Extended Ripper, Explosive 10mm Pistol, Sawed-Off Shotgun (Calibrated Receiver + Sawed Off Barrel = killer point blank crits), Combat Shotgun (Le Fusil Terribles from Libertalia), Automatic Plasma Rifle (Experiment 18-A), Minigun, Missile Launcher (+50% damage to animals), and a Fat Man. Not sure how much closer I can get to the DOOM loadout than this, and it's really hard to spread out my perks between five different weapon types, but it's actually a lot of fun. The hardest part is finding good legendary versions of each gun.
Pirate Queen: Shishkebab, Explosive Pipe Revolver Pistol, Laser Musket, and the Broadsider. Not to mention enough explosives to sink Spectacle Island. 6-Crank Laser Musket is still surprisingly competitive with my other weapons despite full perks in Gunslinger and Big Leagues and nothing in Rifleman. But the real fun is in the bombs. If I can't order an artillery strike somewhere, I've usually got one in my pocket.
Astronaut: 10mm Pistol, Laser Rifle, Laser Musket, Plasma Pistol, and Gauss Rifle (the Last Minute). <3 energy weapons.