[thisisabore]

I read your question too fast. Sorry. For storage, a NAS will be nicer than a rpi with a drive. There might be some other single board computers with better hardware options for managing multiple drives, but from what I've seen this is not an area where SBCs shine.

I expect your TV to understand UPnP, possibly SMB and maybe AFP. That info should be in the TV's manual/manufacturer's website.

The Kodi answer still stands as I'm guessing you will find the TV's media centre limited, as they usually are ;)