As someone who tried that route I'd strongly recommend against it for anyone who isn't core HN audience or just loves tinkering. You're much better off with an Apple TV or an Nvidia Shield unless you really want the "beefy gaming media center".
I walked the mini-PC/RPi road and they came up short every time even for me, let alone the rest of the family. Even when I put in place the perfectly optimized initial setup I was still left with a bad compromise of performance, power consumption, noise, boot time, ergonomics, and the constant trickle of things breaking down or needing tweaking because of some update.
When trying to watch a movie with the family the last thing I want is to troubleshoot random issues.