So a fascinating read on the CRT data base
Your stuck with composite inputs. Which means you can get one of those standard HDMI to Composite downscaler devices and it will work, though it will likely be laggy. Though obviously this is one of those how much do you notice kind of things.
I have been using a chain of Switch HDMI (set at 480p) to VGA to SCART into a Tink5x, then downscaled to 480i HDMI out to VGA and into a VGA to Component converter into my component ready Toshibas. You could in theory at the final step use an adapter like this one on Amazon.com for the lowest latency. THAT SAID even this converter alone should do a better job than the cheapo converters as the push buttons allow for much more customization. I think it was CopySave who recommended it to me in the CRT ownership thread (https://forums.insertcredit.com/t/lets-discuss-crt-tv-ownership/)
For the FPGA platforms, you can get adapters that connect to the signal right out of the VGA of the output board. As always Mister Addon is not always the cheapest, but the products are of high quality MiSTer FPGA YC Active Encoder Board – MiSTer Addons.
BUT what I am fascinated by is that the set has an SD card slot (maybe memory stick?) and plays mp3s and WMA files. The manual is in the CRT database page, but check this out
If you could batch convert a bunch of video files, this might be an excellent way to experience them.