SOME of the lower-cost 1080p projectors can compete in bright scenes, beyond that no. It is also a misunderstanding that you need a room with dark walls to benefit by JVC or Sony or Epson's darker contrast (native on/off). That is not true, as it is only true if you have external light pollution in the room. Having white walls does not fully degrade the image the same way as ambient light does (both visually and by raw math). We argued out the nitty gritty math in another thread to show why. Native on/off contrast does not care if you have white walls, the reflectivity is proportionate as a percentage and the contrast remains the same regardless of white walls, but ONLY if there is no external ambient light (only the PJ beam itself can be on in the room). Bright scene contrast is ruined by white walls however, but native on/off (dark scene contrast) remains the same ratio because the peak whites and black floor are raised proportionately by the same % in a room with white walls (see below). If you lose too much ANSI contrast though, even dark scenes will look bad, so it does affect how dark scenes look, but not as people are saying and not to the amount people say.
So even if you have white walls (as long as no ambient light), the higher native on/off of the more expensive projectors is still useful. I know it sounds counter-intuitive, but it's because if you have a wall reflecting 10% of the light on a white 100 IRE screen, then it also reflects 10% on a black IRE 0 scree, but the reason on/off contrast remains the same is because 110% x 10 = 11 and 110% * 1 = 1.1, and 11/1.1 is the same as 10/1. But if you added some direct external light, the ratio would become distorted because it does not keep it as a percentage, that is why only external light affects on/off contrast. However, for ANSI as well as intrascene contrast, well the white walls do hurt it, so it is best to have a blackened room. A JVC will still have noticeably higher contrast in a white-wall'd room than another cheaper projector.
Now if you have ambient light or any external light source, then yah, you mise well buy a cheaper projector because contrast is going to be blown out.
Lots of people are misunderstanding this.