As mentioned by various people, Plex is a superb option (I've gone through the gamut over 10 years). Just ensure that your hardware is up to minspec. This excludes many lower end NAS devices such as my previously faithful qnaps.
I went full circle actually after doing my best to devolve media down to low power appliances and built a lovely little i3 fileserver in a Fractal Design Node 304 case.
That + Plex is a real winner. My main TV supports it natively via a Plex app. My study and bedroom TV's now have Chromecasts shoved up em to achieve the same. I can access my media gracefully from anywhere with no ongoing faff and yet more of my world revolves around my smartphone which annoys the significant.