I had the Canon "Sure Shot" AF35M2. Mine had some lens haze and was not exposing properly. The shutter whined a bit, like an AE1, so I suppose it was sticky inside or the lube had dried up.
It had what you wanted, spec-wise, but they're just hard to find in 100% condition, these days. It had a battery door with the stupid "live hinge". It used 2 AAs, which I thought would be nice, but they didn't really choose the motor well, as it was struggling to do the basic functions. It had a warning marking not to use Ni-Cads, and now I know it is because it would be QUITE marginal with only 1.2 V per cell.
It didn't have auto flash, which was nice. The exposure lock feature was quite clumsy. One had to engage the self-timer, point down and press the shutter button to get the reading, then re-compose and shoot again before the self-timer had finished its count-down.
From the shots I WAS able to save, I saw that it had a great lens, so the above items were a shame.
What I have now are just these two:
1) Olympus Stylus / mju - Ultimate compact, currently not crazy expensive like the Stylus Epic / mju II. Doesn't meet your flash requirement or lens speed requirement. Triplet lens is razor sharp in about the middle 60% and gently blurs out after that. It's typical of triplets. Self-timer doesn't work on mine. I got it for $25 on facebook marketplace, untested. Going rate or a good one is more like $100. It has SUCH an elegant design though, so I keep it anyway.
2) Nikon "One Touch" L35AF3. This is the champion, and you should consider one. It has the 4-element 35/2.8 lens instead of the original 5-element 35/2.8 lens, but I don't think you could tell them apart from their images. Most folks assume it's a Tessar copy.
The rest of the camera is better than the 1st two generations of it. It uses a 2CR5 lithium battery. They're $6 on Amazon and last dozens of rolls, especially without flash. When you DO want flash, it charges QUICKLY, thanks again to lithium batteries being such a stiff current source. If you leave it for a year or two, lithium batteries don't leak and ruin it, so you're more apt to find a good one. The battery door is a MASTERPIECE, compared to everything else of this era. It is thick and beefy, has a proper hinge, and needs a ballpoint pen or paper clip to depress an interlock to get it open. I LOVE IT.
It was the first P&S camera to have the common half-press to lock focus & exposure, with a status update via red and green LEDs, then full press to take the shot. Flash is automatic BUT there's a button right on the front-left of the camera you hold in to cancel it, and you'll rarely need to do that during daytime. (the red LED comes on during pre-focus if the flash is planning to fire)
Here's a link to my Flickr album for the camera:
https://www.flickr.com/photos/182935075@N04/albums/72157711155502137
Here's one pic, just to spice up the thread:
Along the Chicago River 1 by
Jeremy, on Flickr
One last thought: How about a Nikon FG with a nice little 35 mm Series E lens? It's thicker than these P&S, but does meet every other requirement, as well has having aperture priority, manual and a +2 stop backlight compensation button. Lacks AF though.
Or maybe a Canon Rebel with the 40/2.8 pancake? That's not as thin as the FG, but lighter and has AF, as well as automatic winding and rewinding. No auto flash if you turn it to P instead of dummy mode. Put a UV filter on it and skip the lens cap.
But yeah, any SLR would be clunky in the back pocket of a biker's jersey, if that's what you're thinking of.
