Not 4k120, but I play Rocket League on my BenQ TK700STi in 1080p240 and it’s lovely. So good in fact that I permanently moved my gaming PC to the theater after trying it out.
Personally I’d be more concerned with the response time than framerate or resolution. Anything more than 10ms will be annoying for most competitive play.
RBE hater here represented - I actually tried out a TK700Sti after reading all the good stuff about it.
Turns out, I see RBE literally almost every second, and hated it.
Returned it, and now have an Epson TW7100 (or 3800 for US) and love it. Tiny bit softer picture, but other than that it's perfect for my needs.
You don't really get 'better' projectors for less money, but you get better for the same amount of money. Based on your room size and request for as large of a screen as possible, I would look at the BenQ TK700STi. It would need to be a refurb, and still may not be within budget.
It can fill the wall you have edge to edge without problem from 8.5' or so lens to screen (throw distance).
Learn how to use this tool and what all the terms mean...
[https://www.projectorcentral.com/BenQ-TK700STi-projection-calculator-pro.htm#calc](https://www.projectorcentral.com/BenQ-TK700STi-projection-calculator-pro.htm#calc)
There aren't a ton of 'short throw' projectors on the market, but they do have their uses.
For gaming, you are generally looking at DLP models for extremely fast response time and low input lag on many models (but not all, so check!).
You are typically working with lamp-based models at this price, and you can get factory refurbs of models like the BenQ TK700 (not the BenQ TK700STi which is short throw) for that money.
JMGO was (is?) having a sale which puts one of their 4K models at $1,000, which is a reasonably good model for the money as well.
What else may be on the used market is a tough call as there are a ton of 'used' projectors out there at varying price points.
Optoma's UHD series have had very poor reliability, so that's something to consider as well in your search, but some people have had great luck with their models. Your choice on whether to consider them or not.
from those the x500i, if you absolutely need the extra brightness then the tk700sti but even better is the updated tk710sti so i'd personally go for that (ebay refurbished that ones is $1563)
Look into BenQ TKI700STI, it's 4k with good brightness and shorter throw distance than regular projector. I got one and I have been very happy with it, ofc image is not as good as TV, but I appreciate the size over TV like quality. But the image quality is still pretty good! I find it usable for not so intense watching on daylight even during summer, but if I want to have a gaming session or watch movie on it then I prefer to completely blackout the whole room. I got 120" picture from around 3m throw distance.
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