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I haven't seen any factory locking knives that are very thin just above edge.
The thinnest behind the edge knive's I've ever had or seen would be one by Jerry Halfrich. Close to a folding razor!
Bob Dozier's are also very thin edged, along with most any of the custom slipjoint makers.
All traditional style knife makers take pride in the thin edge, but many makers of modern locking knives could also do you a thin edge on request.
edit- just read your post again, and noticed the factory only and FFG only. Sorry about that. I've never seen any super thin factory blades with a FFG, but I've found spyderco's the be the thinnest in general.
CS HoldOut III, is wafer thin, super strong and extremely lite wt. It ain't VG10 though. I have both the II and III and really like them especially the III and I don't like small knives. keepem sharp
My advice is to find one you like, and either grind on it yourself, or find someone with the equipment and talent to do it for you. Personally, I like to tailor my knives to fit my preferences, and don't care too much about the way they look (otherwise I'd be very unhappy with some of my results). My Military is pretty dang thin now (don't have a caliper handy), and my full convex Native III slightly more so. Also, it may just be me, but in my experience 440C seems to cut better than the edge thickness would suggest. One of these days, I'm gonna get a good 440C candidate to experiment on.