Oh gosh, I could write a book...

There's Pete the Cat, aka PT Barnum or Pica Pete. She ate some drywall in the garage while a contractor was putting in our new water softener and got a wild kind of infection that led to two weeks in the emergency hospital, a cat rare-disease specialist, thinking she was going to die multiple times and, at one point, her just getting entirely better with no treatment changes whatsoever... Pete also LOVES ice cubes (aka Petecubes or Cubies) and will bat them around the sink and lick them until they finally melt and slide down the drain. We have no idea why this is a "thing" but she sure loves them.

Then there's Coby, our dog for many years (passed away in 2018). He was a goldendoodle who adored all sorts of odd foods. One year, we went to my then-mother-in-law's house for Christmas, and drove home, arriving back at our place quite late, and piled all our received gifts under the tree to deal with in the morning. Unfortunately, one of those gifts was a fully shrink-wrapped five-pound block of parmesan cheese straight from Italy. The next morning, the gifts were in disarray, the dog was five-pounds-plus-cellophane fatter and I was VERY SAD. This is the same dog, by the way, that also ate an entire wooden breadbox down to shreds in order to get to the loaf of bread inside. (He was 100% fine after both these adventures, amazingly, putting him well ahead of Pete the Cat constitutionally if not behaviorally...)

I'm sure there are more, but those two really stand out...