200" is pushing it , but a Panasonic AR-100u can do it in a near-best mode, you could also try a Benq w1200 or Viewsonic Pro8200 for DLP but would likely need a little gain at that screen size. Even the Epson 5010 could do it in torch modes.
The Panny ar100u does about 2000 lumens in a near best mode, and 2500 in dynamic mode.
The Viewsonic can do about 1500 lumens calibrated or 1800 in dynamic mode, and the Benq w1200 about 1000+ at closest throw and about 1500+ in dynamic mode.
There are $3000 to $5000 large venue projectors that can do it which are sort of a mix between business and home theater (more business though). Epson makes a couple, the G5450 and G5750 can do 4000/4500 lumens, about 2500/3000 calibrated to near-best modes. NEC makes one for a little more that is advertised at 5000 lumens, but not sure what the calibrated lumens are. These projectors are brighter with a bit less contrast, but they aren't horrible at contrast like some older business projectors used to be.
The Epson g5750 is probably the best one for overall brightness under $4000, but the Panny ar100u is much much cheaper and can get pretty close in a near best mode (Vivid Cinema tracks at 6400k at 2000 lumens, still not really D65 though since the gamut isn't perfect, but close enough).