Originally Posted by Spinningbull
I ended up with both. For streamed content ATV is great, Dolby vision, and audio equal to the streamed quality.
For local content, and anything where you want unmolested, lossless audio, shield.
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+1. I have both. They're both good boxes. They each have their own (minor) Pros and Cons relative to the other. Preference will probably depend on several factors, including but not limited to what your specific wants and use-cases are.
We (mostly) use the AppleTV for Netflix and Amazon Prime because of it's Dolby Vision support. We will probably use it for HBO and Showtime (when we re-subscribe) within the next couple of months because I think it's a little better, PQ-wise, with 1080p content (without manually going in and changing the Shield output to 1080p; it's easier to just flip the inputs to the ATV).
We use the Shield for our MKV Blu Ray rips for the lossless audio support (bitstreamed to AVR) (Plex client). We also use the Shield for Live TV and DVR via our HDHomeRun Prime's (x2) and my HDHomeRun DVR subscription. I also probably prefer it for Youtube, but it's not a big difference. I like the GUI on Shield better too, but that's no doubt a matter of personal preference. We also use them for gaming, too (Steam, Battle.net, Gamestream, NVidia Lightspeed Studios Android ports, etc). The "new" GeForce Now is free while in Beta, and NVidia's cloud computing works really well....
For 4K UHD rips I usually flip over to my OPPO UDP-203 because I want the Dolby Vision support (which appletv has) AND I want the lossless audio bitstreamed (which Shield will do)... so I forfeit the "nice" Plex front-end gui and get the content streaming with all the capability I want.
And I use my Chromecast Audio and my Oppo for music as Roon endpoints. The OPPO sounds a little better than the CCA, but the CCAs could be bought together in bulk ($35 a pop) and grouped together for an incredibly affordable whole-home-audio, so I like/use both differently...
Unfortunately, as you can see, in order to get all the capability I wanted to have, I ended up having to buy a bunch of different devices....
In My Opinion
If you bought a Dolby Vision capable TV (especially a lower-peak-brightness OLED), you probably want an Apple TV.
If you have a collection of SDR blu rays ripped bit-for-bit with the lossless audio in tact, and you like a "nice" front end GUI (Plex, Emby, Kodi, etc) then I think you probably want a Shield.
If you have/do both... unfortunately, you might end up wanting both like I did.