Best throwing flashlight that runs on 1x18650?
Check out the UniqueFire FX-UP-XML #3929, from Shenzhen: CREE XM-L LED, 1060 OTF lumens (sphere tested), oversized smooth reflector, 1x18650 button-top 3.7V Li-Ion battery, $36 + freight.
I picked one up awhile back. It is very bright. Without testing gear to validate the claim of 1060 OTF lumens, it's hard to be sure, but it wouldn't surprise me. At about 20ft distance, there is an extremely bright hot spot of about 4ft diameter, surrounded by a large ring of moderate to generous spill light. It easily lights up street signs 400yds away, yet it throws enough light all around to make it a fairly useful flashlight for going on late-nite walks with the dog, or trail walking. After 5mins on high, it gets quite hot and should be knocked down to the medium setting. It's a 3-mode driver (high, medium, strobe).