By weird I mean outside of regular cat diet, things like cornflakes, ketchup or banana bread (these are real examples from my and my friends' cats).
I let my cats sniff almost everything, and they usually walk away. For example, today I let them sniff some both raw chicken that I was preparing for my own dinner, and both gave it a few good sniffs before walking away. Most recently, I discovered that my youngest enjoys peanut butter! I believe it was the same cat who has also tried to eat my dried mango on multiple occasions. It was either my oldest or a friend's cat who repeatedly took me up on the offer of banana chips.