When I was a kid, my grandma was babysitting 3-4 of us. A mouse was running around in one of the bedrooms. She threw a newspaper on it, stomped it to death, used the newspaper to wipe it up, said "Distgusting!" and threw it in the trash.
We were all pretty wide-eyed at that.
It clearly made an impression, though I am a bit amused that you, of all people, don't consider a newspaper a tool.
I can remember trying to do that with a magazine against a 3" flying cockroach once (don't ask), and it took several shots. Granted, the floor had carpeting, but it was a baseball bat type swing.
I saw someone once get a mouse with a badminton racquet, but that's a tool. Mice are speedy!
We were chasing a mouse around the house a while back, (open door for too long) and as we were running after it, it was leaving us in the dust. The dog came over to see what was up, peered at a closed closet door, lunged, snapped, and started chewing. We hadn't seen the mouse move. "Man the mighty hunter"- nope, not here, not without tools. The same dog also successfully hunts flying yellow jackets and wasps. We've only seen the dog stung once.
I've seen many of the animals on that list go for a kill, and the speed and moving mass is just amazing, which is why I'm not betting on me for most of that list. That's also why I don't worry about twigs snapping in the woods; real predators are just silent. Without tools, I am pretty sure where I rank. With tools, might be a different story, but even with a Paul Hogan sized knife, I'm not going crocodile hunting.
Fun to see everyone's ideas about where they would be on that list, though I hope never to see it happen.
All the best,
Peter