BENQ 1070 if you’re a long way from the projecting wall or a BENQ 1080st (short throw) if you’re close. Almost the same projector. The 1080st is great for box rooms like mine where you can 70″ at only 1.5m projecting distances.
The projector will take 1080p from your ps4 and it’s how mine is set up. NETLFIX looks great, Amazon okay and blu-ray fantastic.
You need to put a it of effort into your room layout as Projectors have a bit of fan noise.
You can project onto a wall but a screen is more impressive and accurate.
Most projectors need some sort of calibration and selection of the best settings to extract the best picture quality from it. So check out how to achieve that. The BENQs have a fairly straight forward setup. But because they are budget Projectors don’t have lens shift for off centre placement to your screen.