Thanks for the additional suggestions!
I forgot to add a couple of extra requirements -
Must be (relatively) cheap; no more than about $25.
Must be small and lightweight. I don't usually EDC lights, but when I do carry a light it should be small and lightweight to fit
in shirt and pants pockets.
Mode memory is now a MUST. I don't like having to cycle through brightness settings each time when switching a light back on.
Here is the list of possible lights I've checked (so far) and the reason(s) for rejecting them -
Niteye SE-A01 1 x AAA; low brightness setting not low enough (throw ~ 8 m).
Eagletac D25A 1 x AA; relatively expensive, and moonlight mode only available under different group settings instead of being
always available.
Thrunite T10 1 x AA; the bare aluminum bezel seems out of place with respect to the rest of the light body! Don't like it at all!!
Zanflare F3 1 x AAA; low brightness not low enough (throw ~ 11 m).
Acebeam M10 1 x AA; low brightness not low enough (throw ~ 9 m).
Reylight (all/most models); too expensive, too bulky, too heavy.
Thrunite Archer 1A V3 1 x AA; has front/bezel switch for selecting modes. All functions should be by REAR switch only.
Sofirn SF14 1 x AA; no mode memory.
Jaxman E3 1 x AA; insufficient data to make a determination.
Thorfire PF03 1 x AAA; no mode memory.
Thorfire TG06S 1 x AA; no mode memory.
Lumintop Tool AAA 1 x AAA; no mode memory, and middle part of light body smaller than head and tail parts.
Lumintop Tool AA 1 x AA; no mode memory, and middle part of light body smaller than head and tail parts.
Lumintop ED15 1 x AA; a bit on the bulky side and low brightness not low enough (throw ~ 10 m).
Ultratac A5 1 x AAA; no mode memory.
Jetbeam SF-AA01 1 x AA; bit on the bulky side and low brightness not low enough (throw ~ m).
So at this stage there doesn't seem to be a suitable flashlight, based on my requirements!??