Quick question how do you hook up a xbox one with a http://www.amazon.com/AVERMEDIA-Bro...18756&sr=8-3&keywords=avermedia+live+gamer+hd
And is it compatible with OBS
And is it compatible with OBS
Lol, I can totally recommend to use Avermedia, they use the same "weasel-wording" every other company also uses. Their internal devices are great and have no known performance issues. At least to my knowledge and after using two different devices from them without problems over the last 5 years.
The Game Broadcaster HD also has no Color Space problems, so you are good to go. Just get a good hdmi splitter with it and you can still use hdmi as normal. Console to Splitter and then Splitter to TV and Cap Card.
As the advertising says input can be up to full 1080p 60fps, but it will only record at 30fps. Which is what every other card in this price segment also does, unless it does not even support full 1080p input or is the Live Gamer HD by avermedia which has a color space problem but can downscale 1080p60fps natively to 720p60fps which other cards do not allow you. So its a trade off.
To get a "better" device that either allows RGB input (which will be changed to YUV anyway) or that allows you to input 1080p60 and record it at 60fps, you will have to pay above 200$, probably above 250. For example:
http://www.solarisjapan.com/xcapture-1-usb-3-0-hd-capture-unit/
http://www.solarisjapan.com/sc-512n1-l-dvi-component-hd-and-dvi-capture-board/
Or you go professional right away with a 2000$ card, which you can sometimes get cheap on ebay. Datapath has some pretty awesome cards in that price range.