I have a Silver Hawk which I use specifically as my clay gun - (mine, unlike the one on Leadpig's picture has a pistol grip and semi-beavertail fore-end). It was the nicest heaviest modern SxS I could find for clay shooting and has interchangeable chokes, single trigger and a reasonably straight rib - so has most of the features of o/u clay guns (except the barrel orientation). To be honest, I wish it had 30" or 32" barrels and was built a little more heavily - not so much for comfort of shooting, more for maintaining a good swing.
I'd love an old H&H pigeon gun as a clay shooter - I just cannot warm to O/Us at all - I'm another one who will happily take any unwanted quality English SxSs off your hands.
I have been using a nice boxlock NE Army and Navy for the last few years, but could do with an ejector model of the same fit, balance and quality, so that I am less often caught mucking about reloading when a flurry of birds are going over.
I grew up with double triggers and prefer the instant choice in choke they offer (I struggle with the selector on the Beretta - OK for clays where I know whats coming, but in the field it always seems to be the wrong way around - which is why I don't use it for game shooting).
I have gone one further and bought a SxS rifle, too.