Just that I generally have on my person, I usually have 4 or 5 such devices all the time. My overall list would be at least as long as those already posted, and generally very similar. Never had a fire or anything close. Knock on wood. The thing is, store-bought, name brand rechargeable batteries are very safe. Can they cause problems? Yes, but mostly in theory. There are probably dozens of at least as risky things we deal with every day. Now, DIY batteries, or bargain batteries from China or EBay, are something more to worry about.
As for 120v electric lawn mowers, I'd be afraid I run over the cord and electrocute myself. I'm sure some would argue that's an unreasonable fear. The point remains, with all of the dozens of rechargeable batteries we each have and the billions of batteries out there, these batteries are very safe.
I guess some people won't get close to a Tesla or a Prius. They are relatively atomic compared to a bike battery. And yes, they do catch fire occasionally. So do gasoline automobiles....
hot
I'm sure I have unfounded fears, and even unfounded confidence in some things. I'll continue to use normal care and precautions with batteries. That's what I do when I handle my chainsaw, my letter opener, and when taking a shower....
TT