I agree with Derch here.
Don't become too dependent on Legendaries. Branch out and explore all available options to keep yourself versatile and resourceful. "And in that capacity" (quoting Helena Pierce as per BL1), go ahead and discuss your favorite standard-issue weapons and gear that maintain their usefulness across all difficulties. Here are some of my favorite "aftermarket" (non-matching barrel) weapons.
Dahl Double Tap (Vladof twin barrel)
Torgue Lance (Jakobs barrel)
Maliwan Rakehell (Vladof barrel)
Jakobs Quad (Torgue barrel)