Picked up an amazon fire tv the other day and was excited to try out construct games on it.
Works like a charm! Great performance so far.
Here's a video of it in action
And here's how to do it youself.
1). Follow the instructions on the amazon developer page to setup your android SDK on your computer
2). Install Intel XDK new
3) Export your game using the "Android" Exporter following the instructions in the tutorial here
4). Compile your game in XDK New and wait for the emailed .apk that intel provides you when its complete.
5). Using the instructions found on the amazon developer instructions (see above), you install your apk onto your amazon fire TV using (install game.apk) - Afterwards you will find it in the Settings/Applications menu.
Quick Observations -
1) The game seems to crash back to the main menu if you don't give it adequate time to fully load before trying to jump in and play it - Try waiting a few seconds after it loads to start the game.
2) The Ouya controller worked right away (including the touchpad) just by using the gamepad game object in Construct - Functions the same way as a normal desktop controller.
3) When using the touch pad of the ouya controller the amazon fire tv shows a nice little circle cursor for you (it disappears after about 7 seconds of not touching)
I will continue to update notes as I figure more things out.