Oh ENWorld...
A poster comments on ranged paladins and how Mearls says the melee restriction was a flavour decision, and then the OP asks for characters that spring to mind... and everyone launched into a balance argument on ranged vs melee, feats vs no-feats, and 5e as a whole...
Okay, ranged paladins.
The paladin of elven gods jumps out. Or a paladin of a god like Artemis that favours the hunt.
I can also imagine a vampire hunter firing stakes from a crossbow. Which makes me think Ravenloft an a holy gun character with flintlock pistols and silver bullets.
The vengeance paladin is almost a rogue holy assassin character, so you could easily have one wielding daggers. Heck, Batman has shades of paladin in his DNA, and batarangs are very melee.