Thanks for all the comments.
One of the flashlights I have now is an UltraFire. The other, the one that now just murmurs with lumens, is another brand and I can't remember. It was actually a higher-quality flashlight, at least in "how it feels in the hand" measure.
I wanted a flashlight, rather than a bike-specific light. That's because this is a backup bike, as far as commuting (it is my road bike). My regular commuter has a dynamo hub that powers a headlight and a taillight.
I've got a handy handlebar mount that I picked up somewhere, so a flashlight is a good fit, and it is something I can use to find the dog when he gets into wolf mode in the back yard.
I have some Fenix lights that burn AA batteries. Those are well-made lights and have given me no trouble, so I went to the Fenix web site. Nice lights, but too expensive for this assignment.
I wish I had seen the post about the Romisen light before I went on Amazon, where I was seduced by an offer for an "UltraFire WF502B Cree T6," for $7.83 and free (but slow — must be on a horse-cart) shipping.
The SacredFire (what a name!) lights look interesting, but I don't know what a 14500 battery might be. I've already strayed into Weird Battery Zone with my six 18650s (the Batteries Plus store near my house doesn't carry them or a charger for them, and the people there give you funny looks when you mention "18650.")
That TrustFire C8 — do you need a license to carry that thing? Looks like it could peel paint! But I need a smaller light that my handlebar mount can handle. Not sure it could keep a long light in place going over bumps.
I agree with the earlier post, that it would be good if these lights had a longer burn time.
They sure do put out some light, though.
Thanks, everyone.