You guys have seen nature shows on tv that show a lion chasing a wildebeest and when it gets close enough it swats the hind legs out from under the beest to trip it, right? My male greyhound does that when we encourage him to chase us. Since my hind legs are my only legs I learned quickly not to play that game too often. It hurts.
Any sort of chasing game that involves humans and Greyhounds is going to be painful - up to and including badly broken (human) ankles.
My cat Maggie does that – usually for donuts. She loves donuts. But her real favorite food? French fries. She goes absolutely bonkers if someone’s eating them and you really have to watch her, or she’ll reach out and grab them from your plate. I have never in my life encountered a cat that liked french fries.
Luci likes to carry her toys around and cry. I googled this and apparently it’s not quite uncommon, but I’ve never seen it before. She almost always leaves them in the middle of the steps, too.
I once had a dog who would drag herself around by her front legs when she got really excited. I’ve heard of dogs doing that when they’re in pain, but she’d do it when she got really happy and hyper about something. And when she was a puppy she’d eat half of her treats and hoard the rest under the couch – which we didn’t discover until after my mother decided to move the furniture. She also had this really weird guilt complex, to the point of getting upset if one of the cats had a hairball, she’d go hide under kitchen table and act all worried, like she’d get in trouble. Even though we never punished HER when she got sick.
One of my Christmas tree ornaments is a miniature teddy bear. It was hanging quite high on the tree, and my female cat jumped up and stole it. She then carried it around in her mouth, as if it were her kitten. I put it back on the tree, and sure enough, caught her carrying “her kitten” around the house. So I let her keep it. Even though she was spayed, she still has a maternal instinct.
My cat (spayed as a kitten) keeps stealing small stuffed animals from me.
My cat regards the smell of bleach or chlorine as better than cat nip.
Swimming pool towels waiting for laundry=heaven.
Cinderella rolls around on them, biting them, rubbing on them, just getting jiggy on damp towels.
My other cat, Socrates, aka Prince Charming, could not care less, but loves him some cat nip.
Yes, the children named Cindy, and when Socs the stray turned up, they were inspired.
But my husband wanted to name a cat, so it’s an on going battle.
I used to have two dogs, mother and daughter, who both hated riding in the car. They both got carsick, so I learned to hate having them in the car too.
When I was young we had a football playing German Shepherd. She played two positions - safety and kicker. When someone would break free on a long run, she would come out of nowhere at full speed and neatly clip the legs out from under them. Painful, it was. Whenever we put the ball on a kicking tee she would run up and knock it off with her front paws. Never got much distance, maybe a foot or two, but still impressive for a canine!
When I was a kid we had an Old English sheepdog that would eat unshelled walnuts. We would give her one and she would somehow crack it open in only two or three pieces and then extract the nut meat and leave the shell.
She would also eat apple cores. Whenever someone had an apple, we would just toss her the core.
My cat is a Green Bay Packers fan. Seriously. She has no interest in television unless the Packers are playing. She’ll sit in front of the television and paw at the screen. We think she might be Aaron Rodgers’ spirit animal.
I had a pug who couldn’t remember that my stuffed animal pug wasn’t real.
Every month or so I’d reach down my stuffed pug from the closet and hold it in my arms and pet it. Real pug would glare daggers at me and start to bark at the hated stuffed pug, and then the barking would turn into a heart-rending howling.
It was a bit mean of me to do this, but the stuffed pug had been around for years and real pug knew it was fake. At least I thought she knew it wasn’t real; she wasn’t the brightest dog in the world!
My present cat did the silliest thing I’ve ever seen an animal do (and if I had a video of it, I bet it would go viral, it was so cute :D. I’ve kicked myself ever since for not filming it).
When she was a wee kitten, she became convinced that the kitten she could see in a floor-length mirror was a hated rival.
She’d puff herself up to look bigger than the kitten in the mirror - slowly approach it by hopping sideways, with “fearsome” growls - and then, take a swipe at it with her paw!
These episodes always ended the same way - with her running away in terror, because the kitten in the mirror (in an admirable illustration of Newton’s laws) “hit” her paw with an equal but opposite force. And the mirror-kitten paw was hard. 
It took a couple of weeks for her to figure out that the kitten she could see in the mirror wasn’t “real”.
Years ago one of my cats would exhibit similar behavior for David Letterman, sitting on top of the TV and reaching down to bat at his face. No other TV interested her.
Not my dog, but friends’ – if they put leftover people food beef stew in his bowl, he would eat everything except the peas and little cubed carrots, but he would suck all the gravy off the ps and cs before depositing them back in the bowl. (Barry - a cross between a black lab and a dachshund. Very interesting shape!)
These are cracking me up - The cat ones especially! I’m a kitty person. 
My cat Nemo likes to eat… marshmallows. I found this out when snacking on those really big marshmallows they sell at some grocery stores. Nemo kept staring at me, so finally I bit off a small, gooey piece and set it down for him. It took him a couple of tries, but he managed to get it in his mouth. And wanted more. I gave him a few more bits before he got bored. 
He’s a good hunter (I don’t know if I’ve told you before?) which, while not unique to cats in general, is unique to the cats I’ve had specifically. So far we have watched him catch/terrorize a small mouse, and suspect he’s eaten another. I also found a large bug by my nightstand and watched as it struggled to crawl off (obviously badly injured). I’m pretty sure Nemo had a couple whacks at it, then brought it over to show “Mommy”. 
I have a border collie that is riveted by the tee vee. Meaning if he catches sight of one, he is mesmerized. He sits about 2 feet away from the screen and doesn’t move… for literally hours.
Makes him easy to travel with when staying overnight in hotel rooms. I just flick on the tube and that’s right where I’ll find him next morning. You can stick a pair of glasses on him while he stares and he doesn’t even care. Makes him look very intelligent. Except you can turn the tee vee off, and he stares at it exactly the same. Won’t work unless you start with it turned on, though.
Opens the door for me; wakes me up in the morning with a head-butt; befriends donkeys; and responds to questions and politeness. He will not do something often at times if I do not say please. SO CUTE
Prowler is my reformed tuxedo street kitty - she *worships *me for bringing her inside where all the food, treats, toys and big cozy beds are. This worship has manifested itself as a grave concern for my health and emotional state. Early on, if I sneezed or coughed, her little Buster Keaton face would appear around the side of my book, eyes wide with anxiety…MOMMY ARE YOU OK??? PLEASE DON’T DIE!!
Over time she’s less concerned about sneezing, but coughing or laughing really hard still gets her very worried. She’ll climb up on my chest and lick/bite my forehead which only makes me cough and laugh harder.
Crying is the worst, though. The year we lost my mom, her partner and my brother, there were many tears. Prowler just cannot stand for me to be crying, she will stand up on her hind legs, paw me and mew, or get on top of me, get in my face and lick me until I stop. Now I have to cry in the shower so I can have some privacy.
Her food manias are few - I can do pretty much anything in the kitchen without her bothering me, unless there’s BACON. Then she goes nuts. Her other food mania is Chinese take-out - doesn’t matter if it’s chicken & broccoli, beef, noodles, shrimp - whatever it is, if it’s Chinese, she WANTS some!
SHE SO DORABU.
Our Midnight liked marshmallows, too.
Our Chihuahua/Shih-Tzu Finn will delicately reach out with his paw and gently tap, or even gesture toward his food or water bowl if they are empty, or even not full enough for him. He will make the same gesture in the air if we are having some kind of snack, such as popcorn, to indicate he wants some.
Another of our dogs, Max, is a Yorkie/Shih-tzu. He absolutely refuses to eat his kibble from his bowl. He invariably will take a bite or two, and then upend the whole thing with his nose and eat off the floor. Often, I just give up and pour it on the floor to begin with.
We once had a mutt terrier, name of Riley who, almost every night around 8:00, wold drop whatever he was doing downstairs in the family room and run upstairs to the kitchen for a minute or two. He would then rush back downstairs and stand in front of me quivering with that “It’s time for a walk” look all over his face. We gradually became convinced that he was reading the digital clock on the microwave to see if it was indeed 8:00!