I have never, strictly speaking, been owned by a cat. At least not one I bought or was responsible for. But I have known several of them down the years, and yes, one of them did try to "Adopt" me. I shall tell their stories here.
The first cat I knew was Midnight. He owned my Aunt Barbara and Uncle Dave. I was very very young.....so it did not go to well.
He was called Midnight because he was all black. He was not a mean cat, but wasn't exactly a nice one either. I was VERY young (2? 3?) And I was fascinated by his twitching tail.
So being a little kid, I stepped on the tail.
Let's just say he paid me back for it in spades.
Years later, when Midnight was an ooooooooooooold kitty, I visited my Aunt and Uncle in their new home. He climbed up to me and stared curiously into my face. Clearly he was like "Do I know you?"
I was glad he forgot.
Next cat I knew was Cooney. She was an elegant long-haired white Persian. She lived across the streat from me, and she had never forgiven her humans for having children. I never fed her, but I was the one who petted her most and paid the most attention to her. One time she even followed me down to the bus stop for school, meowing piteously.
Then I got to know my Aunt and Uncle's new cats, Spooky and Smokey. Spooky was another all black tabby, Smokey was gray. I got along with them, but didn't get to pet them much; they were always running around. Not scared or skittish, just constantly active. It was like "No time to play; I have to attack stuff now!"
After college, I had moved into my own place. A couple moved in with me; theirs was a very sad story I will not relate here. They were owned by three cats.
The first was called Furface, or Mommy. A charcoal gray tabby, she was antisocial. Not mean, she just didn't have much time for us humans.
The second was Goofball, or Spaz. Furface's daughter and all black, she had a similar disposition.
The third was Tiglet, or the Mutant. A big gangly orange tabby in his "teenage" years; that is to say, no longer a kitty but less than a year old. He was very skittish but also very affectionate. You could pet him all you liked, you just couldn't pick him up (he would bolt). The couple called him Tiglet cuz he looked like a tiger and ate like a piglet. I called him the mutant because of his extra toes on each paw and his strange meow. It wasn't really a meow at all; he just opened his mouth and let the sound out in a wailing "aaaaaaaaaaaaaaaa" noise.
He decided that I was "His" human, and slept on my bed, on top of the covers by my feet, and spent the most time with me while I lived with them. This is as close as I have ever come to being owned by a cat.
All 3 of these cats were fascinated by the grill in the floor that let them see downstairs to where the shower stall was. One time Spaz got caught in the folding staircase that led to the attic and Furface meowed frantically till I rescued her baby.
Now I have no kitties, but TDK and Meme cats sustain me. :)