if it is an android tablet, you may be able to connect the 5tb hd to the tablet via USB, then get a usb-2-hdmi to bring up the tablet os on the TV. We do this with our kids chromebooks. if you have USB-C, then you don't need a converter, just a usb-c to hdmi cable.
So look for a tablet with hdmi out. Or a dongle?
If you can find one with a hdmi out. Most have a usb to hdmi converter. You can buy.
I think this is the chromebook we have for the kids:
I don't know if this works for apple devices.
The chromebook we have just has usb-a (the large rectangle one) and usb-c (the oval-ish small one). The chromebook came with a cable that has usb-c on one side, and hdmi on the other (but you can get one of these cables from )
you should be able to connect your 5Tb HDD to the usb-a, and browse the videos on the hdd. it may be that you get better performance if you copy the specific movies you are intending to watch onto the chromebook storage.
download VLC player from the play store which will play many different format of videos (it's free and open source).
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