Default [Q] Chromecast alternatives using an XBOX?

With all the new apps and wireless technologies available now, is there a way to get the same "cast" functionality going through an XBOX connected [not smart]TV with your phone?
I have a stock/unrooted Samsung Note 3 and XBOX 360 and want to mirror my phones screen and control some apps like you can with the Chromecast, mainly a web browser on the XBOX.

Thank you for any help!!