Just like it says on the tin. What characters have you all created that are an unusual blend of background/class/subclass/race/stats?

My favorite example is Krull the necromancer Tortle. But from my own head I've created an Eldritch Knight Gnome who rode a mastiff into battle, an old woman Barbarian who uses her Spirit Guardians to perform feats of strength, and a Drow Druid who loved turning into any species of spider. I'm excited to hear what other crazy combinations are out there!

I've made a Noble ranger Gloomstalker wood Elf with -1 charisma.

I once played as a Dark Elf paladin, oath of redemption. the paladin had never been to the underdark and was raised instead in a church. 

Fallen Aasimar necromancy wizard. Be romanced trying to make all Aasimar’s immortals as “we are the chosen people of (my deity here), and they meant us immortal”

I've randomly rolled both halfing and gnome rangers for one-shots. There's some...obvious drawbacks when using standard equipment.

Probably the weirdest character combo I played purposefully was either a genasi monk with a charlatan background or a halfing paladin anthropologist.

I've made a werewolf warlock (fey pact) / Guild Artisan for an upcoming city based game. She's a dress maker, but longs to wonder through the forested wilderness away from the town guards

Rock Gnome battlesmith with a steel defender shaped like a mini mammoth, and wielding a +1 lance (from infusions), and wearing +1 plate armor (took the feat that gives you proficiency in heavy armor)

Woo, Genasi monks! Mine was an anthropologist background who, through a series of unfortunate circumstances, found herself lying dead in a ravine and courted by a cult of the apocalypse. She seeks nothing more than the burning away of the common flaws of all civilizations, as she sees them.

I also have a Rock Gnome Rune Knight who was raised by goliaths, thinks she is one, and occasionally goes into rages. She thinks her mastery of runes is proof that she's giant-kin, further confused by Giant Might literally turning her 10 feet tall.

My next notable weird character is a simic hybrid blood hunter that is also a fighter, ranger, and rogue (if we get to that point). The character has the gambler background and is designed to be the embodiment of chance. He's bred / created to be an assassin, able to utilize the weirdness of his own biology to perform highly unusual feats of murderous mastery. He's not intelligent, but he trusts his instincts implicitly--often to his own detriment, because frankly, they're not that sharp.

Then there's the rock gnome druid with the stats of an uncanny wizard who was raised in a family of artificers, including his twin sister the artificer artillerist who literally bamfs guns in and out of existence; but Tonic, himself, does not believe that magic exists. He believes it's all a matter of mystifying a force of nature that can be easily quantified, and that the Weave is nothing more than another force like gravity--and he will do anything in his power to prove it.

I once played a bugbear who was switched at birth during an accident at the hospital and was raised by humans. He grew up to become a Life Domain cleric who though he was just unusually furry.

tiefling paladin, or aasimar warlock of the fiend

take your pick

I've rolled characters that were just really NOT optimized, but weren't conceptually unusual-- an Aasimar paladin who just has bad stats for being a paladin still fits the cliche, and so on. But the dragonborn rogue I've got in my back pocket is definitely weird from the ground up.

I do really want to get the chance to play him someday, though.

 Dragonborn monk

I had a wood elf Barbarian who met a treeant. And made fun of the Dragonborn.

Goliath Cleric of Unity (UA) Anthropologist.  Didn't really like his own people so he is going out to learn about all the other cultures of the world.  Thinking he will get Observant feat when he gets there.  Prefers the hands off approach ala star trek and non interference.  Might cause some problems of conscience if someone else wants to help people In trouble and he wants to see how it plays out.  For science and all.

I just finished a campaign with a Forest Gnome, Ranger/Blood Hunter. Not super unusual, but definitely NOT optimized to say the least..Much to my surprise it turned out a lot better than I expected though. 

A Warforged Druid named Leatherhide who speaks rusty common in a vaguely Russian accent and who has been slowly replacing his metal bits with leather and plant matter. Haven't used him yet, but I really want to. 

A Tabaxi Fighter, who was covered in armor so no one knew she was a cat. Also she got turned into a werewolf at some point so...

Forest Gnome Totem Barbarian riding a Capybara.

Capybara was purposely designed to grant few advantages. Great potential for RP, but the campaign at the time lacked much of it.

Weird one that I played that's not really optimized stat wise but actually makes sort of sense lore-wise: Grogni Bitterbeard, dwarf monk, specifically Drunken Master. He went on an alcohol based spirit quest, and my head canon now is that he's married to the dwarf barbarian I'm playing now.