Most 2 channel receivers that have 2 zone capability, the second zone is preamp output (not amplified) so you would have to have another power amp for the 2nd zone. Another problem you run into is I don't know of any 2 channel receivers with 2 subwoofer pre-outs, which means you would have to run speaker level out into the sub, then to the speakers. There are ways of doing what you want to do with extra amps, impedance matching volume controls, etc. but I would really look into a multizone system like Niles, Crestron has a nice Adagio system, or Rotel. That way it simplifies things, keeps all the amps in one chassis, built in tuners, and you have the ability to add on later if you need other zones like outdoor speakers, another room, etc.
I am setting up a stereo system for my bar, which will be opening in a few months. It isn't a nightclub type place, so I don't need to blast at extreme volumes or have earth shaking bass. It will be more of a restaurant during the day, so the music will just be a background level during the day, then going up somewhat at night, but never real loud. I just need to have a decent volume level. What I'd like to do is to have 2 zones, the place is about 1,000 square feet. I was thinking of getting 2 powered subs, one for each zone and maybe 4 bookshelf type speakers to mount in each zone. I like JBL, I use JBL for my home speakers and have found some models that would work well for the subs and the speakers. I would use a 2 zone speaker selector to control the volume in each zone and match the impedance to the amp. What I am looking for is a recommendation on a receiver, I only need 2 channels, not a 5.1 or 7.1 theater receiver, which most of them seem to be. I need enough power to drive the bookshelf speakers, as the subs will have their own amps. I really don't need the tuner, I doubt I'll play much radio, it will be mostly Cd's, cable tv input or a computer playing mp3's. Any recommendations?