Sure why not, there is already 2 versions of it out there more or less, either the PSPgo or the PSTV can both play Playstation one games from the PSNstore and both of them perfectly connect to a TV for playstation action, the PSTV even has some nice options to improve on the original games in ways.
Why not check me out on youtube and help me on the way to 2k subs over at www.youtube.com/stormcloudlive








