I set up a living room console with Batocera, and all my games are streamed from my NAS ...
Any Raspberry Pi will do to start, even a Pi Zero.
But if you want something a little more versatile, you may want to consider plugging a full-fledged computer into your TV.
Movies are magic, and if you need proof, just read about how Project Hail Mary's directors crafted one of the most beautiful ...