My older cat, Molly, likes to play with those clear caps on the top of water bottles. She has a stash of them somewhere, we think. At night, starting at about 9:00, she’ll go get one, and start meowing very loudly in the hallway. One of us has to get up and toss it for her in order for her to be quiet…until she starts up again.
My younger cat, Sneakers, likes to play fetch. He has dozens of those little fur mice cat toys, and if I toss one for him, he will go get it, pick it up in his mouth, and bring it back to me, most of the time dropping it right in my hand. I saw a cat that did that once on ‘America’s Funniest Videos’, but of course it couldn’t do it nearly as well as my Sneakers. 
Sneakers will also find one single spot of the carpet–in some out of the way place that hasn’t been stained or anything like that–and just stare. About five minutes later he starts clawing up the carpet right there, in that exact spot. I wonder what he smells/sees there that we don’t.
A week ago I was housesitting two cats for neighbors on vacation. The cats were Milo, their boy, and Butterscotch, their girl. Butterscotch reacted badly to the separation and hissed at or ignored me the entire time (I’m not sure if she even ate during that time, or just stayed in the one position I always found her in), but Milo was a crackup. We instantly bonded; either that or he loves everyone he meets.
After he got to know me, which took about…let’s see…five minutes, he followed me everywhere. When he walked, he would stretch. He wouldn’t stop to stretch–he would just stretch as he was walking. If I looked at him while he was stretching, he would collapse next to a wall 'till I petted him. And if I called “Milo!” from another room, he would come galloping into the room, collapsing at my feet. What a weird cat, but a funny one.
DAVEW0071, speaking of cats protecting from evil influences, there’s a short story I read in an anthology a while ago that concerned a cat who, at night, would unravel yarn and create an intricate mess of it in a lady’s front room. What the lady failed to realize (until she finally managed to get the yarn to a place the cat couldn’t get it) was that the cat had been trapping a demon in the room with the yarn. Spooky.
Oh, and one more Sneakers story (I know, the post is long…) He likes round bowls or boxes. If he sees one, he immediately jumps in, sitting or laying there, even if he can’t fit. We have one black wire/metal bowl that we leave on the coffee table just for him, and he loves it. He used to have ceramic bowls that he’d get in, but he broke two of them by jumping in them after getting a running start and causing them to fly off the table. 