For VERY high end home theaters, Digital Projection offers the Insight 4K projector. It has the professional 4K resolution of 4096 x 2160, and is available with either LED or laser illumination. In the latter form, it's specified for an output of 12,000 Lumens, a laser lifetime of 20,000 hours, and a color gamut beyond Rec. 709. Yours for $120,000.
With LED illumination the output drops to a still considerable 3000 Lumens, the claimed LED lifetime increases to 60,000 hours, and the price rises to $150,000. In LED form it's also claimed to be the first projector capable of the Rec.2020 color gamut. In a darkened room demonstration, however, the LED version had heavily oversaturated colors, suggesting not that there was anything wrong with the projector, but rather that the playback gamut didn't match the gamut of the source material--a guarantee of inaccurate color. The laser version was being demonstrated in the open area of the booth, and its color looked excellent.