START HERE - Pick the Right Kodi Box (updated Dec 2020)
Neither if by "open for some 4K content" you mean 10-bit output + HDR. If you are okay with 8-bit 4K @ 30fps in H.264, then Chromebox is fine. It can't h/w decode HEVC. As for Core, opt for WeTek's Hub or Play2 instead. Believe they do 10-bit decode, but output at 8-bit (if I recall @wesk05's post correctly), but they have no issues playing H.264 and HEVC 4K videos, albeit w/o HDR.

For full 4K, Shield is an option, as is HiMedia Q5 (or Q10) Pro. Latter isn't an integrated Kodi solution however as it only relies on Kodi as a front-end to manage your library, w/actual playback to pushed to the external (native) player app. With Shield, you also get 10-bit, but don't believe HDR works with SPMC or Kodi (not sure).

Upcoming Kaby Lake (Q1 2017) should also be an option, but based on Intel's history, it takes a while to get proper graphics/other drivers for "flawless" video playback.
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Messages In This Thread
The right box for me - by tyem - 2016-01-13, 15:29
Jesus Box - by kellyvb - 2016-03-04, 20:18
RE: START HERE - Pick the Right Kodi Box (updated Sep 2016) - by hdmkv - 2016-09-14, 16:35
Thanks for the Help! - by jmc15john - 2016-11-09, 16:44
Jarvis crashes and wipes - by gotthis2000 - 2017-01-10, 22:14
RE: Jarvis crashes and wipes - by nickr - 2017-01-10, 22:58
T95Z Plus Android TV Box - by gooner1971 - 2017-03-17, 13:04