what's the fastest home theater projector?

You are better off buying a tv, instead of a projector. Projectors does not somebody a tv tuner for you to watch tv programs and the lamps only final around 2,000 hours. Compare that to a telly that has a life of 60,000 to 100,000 hours. When you mention best you are looking at a price strip of around $60,000, for your budget forget it. Keep in mind, you get what you pay all for. I spending a projector for my Home theater and the price for the projector was $3,500. Hope this will help you out.