For a large bright room and gaming, hmm....
The Epson 5010/6010 and 5020/6020 has a bit of gaming lag if you are going to do serious FPS gaming and care about lag. For regular gaming, should be ok. The refurbished Epson 5010 is a good deal at its price point. For movies, a B-STOCK or refurbished RS-45 or RS-46 could be a good thing (I would go for the refurb RS-46 if mainly focusing on the image for movies and single player non-competetive gaming).
Unfortunately due to 3D capabilities, the focus has not really been on improving BLACK levels of projectors by the MFR's, instead the blacks have often been getting worse (other than on the higher-end units, over 2k units). For the sub-$2000 DLP's, the blacks aren't great, but they are ok.
Otherwise, if black levels aren't the priority, then take a look at the Benq w1070 (placement flexibility is a bit strict). The blacks will look about the same as the Epson 8350, at first they will be worse since the w1070 is brighter (can fix that with an ND Filter). However, overall contrast wise I think the Benq wins over the Epson, as I think LCD has a tendency to look washed out in some scenes (unless we are talking the Epson 5010). There is also the Sharp xvz-30000, which can be found at some VENDOR for under $2000 at times, woot deal I think. The Sharp will do blacks better than the 8350.
You might want to wait until some of the newer projectors come out, I think some of the newer DLP's come out from between now to Nov, whereas most higher end projectors start shipping from Sep to Dec (Sony and Panny's earlier, JVC's and others later).
There is no ONE projector to rule them all, just gotta decide what is most important (gaming, daytime viewing, nighttime movies, etc...).
So I would say for me, I prefer the JVC's, but for you hard to say due to budget concerns. I know at times you can get some pretty good deals on some refurbished JVC projectors.