Best Projectors for the Job

Ultra short throw is essentially 0.72:1 down to 0.49:1 range. Short throw is anything less than 1:1. The lens throw plays a major part in whatever you end up doing. It's basically what defines what's possible depending upon the room size you're using.

If there are 1080p short-throws out there, they're not a standard consumer product or they're so new I've not heard about them yet. That Sony isn't quite short throw (1.29:1) and that is most definitely not consumer price point ($25,000). A bit crazy, but I could get 50 of the projectors I use for the cost of one of those.

You typically need to be targeting a vertical height of between 48-60" projection if you're going room size. With ultra short throws that still means your mounting locations are roughly 10 feet away from the screen. That becomes problematic in regular rooms and impossible with non-ultra short throws.

48-60" vertical projection height + 8-10 foot lens throw = ultra short throw projectors only. The math limits your options.

You've not mentioned your budget range or build quality yet. Those will weigh heavily on what options are open to you too. I tend to focus down on DIY economy builds as to keep the bar low enough that most people can build up a screen if they have the room.

I'll hunt around a bit and do some research on 1080p in the next day or 2. There are not many consumer 1080p that are even marginally suited for the job though. Adding in 1080p S3D capability even makes it more scarce. 1080p S3D forces a requirement of dual-dvi or displayport input. HDMI doesn't typically have the required bandwidth.

You're still not giving me enough information to give you a proper answer with though. I need to know room size and proposed screen size.

Check out projectorcentral.com - they usually have a pretty comprehensive list of available projectors, searchable by features.

A search for 1080P short-throw yields three items.  One is over $19,000, the other two have no price listed.  It looks like the Sim2 Grand Cinema projectors might fit your needs, assuming the price isn't too outlandish.

ProjectorCentral shows the 6500UB as out of production, but the 8350 seems similar, and only $1299.

What sort of FOV do you want to cover?  One limiting factor is the need to project over your head, and if the throw is too long, you may exceed the ability of the lens shift to provide keystone correction.

With the 8350, it's got 96% vertical lens shift and a minimum throw ratio of 1.37, so you shouldn't have any problems unless you're trying to achieve FOV in excess of 200°.  Even then, if you're willing to accept a little extra top-side resolution reduction due to digitally-corrected keystoning, this is not a problem.