I don't get if you want to keep your PS4 running for 1 minute (as your topic title says it) or for 1 hour (as you explain in topic)?
In first case, PS4 has 240W PSU and max what it draws during gaming is 150W. For 150W load on PS4 and TV too (let's say another 100W), a 500VA / 300W UPS will do and you'll get about 2 minutes of runtime out of it. E.g CyberPower SX500G,
specs: https://www.cyberpowersystems.com/product/ups/sx500g/
But if it's the latter then do note that UPS isn't designed to keep electronics in use for longer periods of time (15+ mins). If you need keep your gaming console running for hour or so, you'd be better off buying diesel/gasoline powered generator and transformer.
If you still want UPS then you'd be looking...