I'm looking for an HD video projector to give as big an image as possible with a lens-to-screen distance of 2 metres. Peter Hunt
You want what's called a "short-throw" projector, which will have a wide-angle lens to produce a big picture from a short distance. High-quality wide-angle lenses are expensive. Short-throw projectors typically offer XGA resolution (1024 x 768 pixels), but at least one does widescreen WXGA (1280 x 720): the Epson EMP-400W, at £956.45. If you really feel the need to go up to "full HD", or 1080p, then you will need WUXGA (1920 x 1080), and I don't think there are any short-throw designs. Also, WUXGA projectors cost more, typically from £1,200 to £12,000.
I can believe the Epson EMP-TW1000 video projector is a "best buy" at £1,952.85, but it's an expensive way of watching movies or playing HD games!
Try browsing the Projectorpoint.co.uk site, which is where I got my prices. There are pages devoted to short-throw projectors and Home Cinema Projectors sorted by resolution.