Technically, all the direct-blowback pistols (usually found in 9mm or smaller) are gas operated, not recoil. Browning-pattern guns are, as you noted, recoil operated.
As for handguns that use a rifle-type gas-operated action, you forgot the most famous of all, the Desert Eagle. And, of course, the AR-15 pistols.
Exactly so, I have a Beratta .22LR and a 32ACP and neither has an extractor as such, they rely on residual gas pressure to "blow" the spent cartridge out of the action. Without doubt the third law force is present as well, it would take a "free body diagram" and some calculation to determine which is the major contributor to function.
Yes I did forget the Desert Eagle, but I can add the Wildey which is the grandfather of them all. I really don't consider the AR-15 a pistol with that ugly buffer tube hanging out the back end, to me it's more a short barreled rifle of very limited utility.
Regards,
GtG