Since I’m not sure how to edit Wiki posts (new account I’m sure), I’ve made a guide on Monogame and how to use it with the Ouya. I’d also remove the XNA part since XNA was only supported on Microsoft platforms while Monogame is cross platform.
Pros: Tons of books available on it and XNA, still has some popularity with modern indie games.
Cons: Requires version 3.4 and VS2015 to be installed, along with older Xamarin and Android SDK obviously, has a “dead” reputation solely because of XNA being killed by Microsoft.
How to: I’ve made a guide on how to install VS2015 for the Ouya