They aren’t memes any more, but many of the characters in the Gilbert and Sullivan operettas introduced themselves using catchphrases that became quite well known (and were frequently parodied):
“I am the very model of a modern major general”
“Three little maids from school are we”
“I am the captain of the Pinafore”
“I’m called Little Buttercup, dear little Buttercup”
“A wand’ring minstrel I, a thing of shreds and patches”
“My name is John Wellington Wells/I’m a dealer in magic and spells”
“I am Bick Pentameter!”
What movie was that? I always forget.
Oh! Now I remember. It’s from nothing. I just made it up.
I am a pirate king.
Fuck you, that’s my name!
“I am… Dracula.”
“Make him stop saying that!”
“I’m 'Enery the Eighth, I am, 'Enery the Eighth I am, I am!”
“I am an Antichrist, I am an anarchist” – Johnny Rotten
“Dormammu, I’ve come to bargain.”
A man in a mask
My name is Barry Allen and I am the fastest man alive.
I AM the LAW!
The name of this band is …
… The Talking Heads
In that vein:
Hello, I’m Johnny Cash.
We are Motörhead, and we play rock’n’roll.
ETA: I just noticed, shouldn’t it be “The name of the band is…Talking Heads”? Wasn’t it the point that the band name didn’t include the article?
I am the God of hellfire…
I’m just a poor boy, I need no sympathy
Because I’m easy come, easy go, little high, little low
Any way the wind blows doesn’t really matter to me, to me.
“My name’s Pitt. And yo’ ass ain’t talkin’ your way out of this shit.”
[My name’s Pitt, and your ass ain’t talkin’ your way outta this shit. - YouTube]
No one seems to have cited this classic bit of American Folklore:
“I’m that same Davy Crockett, fresh from the backwoods, half man, half alligator, a little touched with snapping turtle, can wade the MIssissippi, leap the Ohio, ride a streak of Lightning, slide down a honey locust and not get scratched. I can whip my weight in wildcats, hug a bear too close for comfort, and eat any man opposed to Jackson.”
There are variations on this formula (some have “half horse, half alligator”, others say that, in addition to beating his weight in wildcats, you could, for a sawbuck, toss in a panther, and the like.
A fine piece of frontier braggadocio that I don’t think the Disney version ever cited.
I am the one you warned me of
I am the one who never never lies
-Blue Oyster Cult
“I’m a liar”
— Rollins Band