In the absence of a high definition Nintendo console - or even new Starfox games, for that matter - some fans have taken matters into their own hands, and are building a new Starfox game: Shadows of Lylat.
Similar to the popular Battlestar Galactica mod, Beyond the Red Line, Shadows of Lylat is built on the FreeSpace Open, meaning it takes advantage of the space combat sim's engine without the user needing a copy of Freespace to play it. All you'll need is Shadows of Lylat.
Being built around Freespace, the developers say it'll be a little more serious to play than the arcadey action of the Nintendo titles, but that shouldn't worry too many of you. What should worry you are the chances of Nintendo being assholes and shutting this down.
It'll be out "when it's done" (if it ever gets done), and is promised to run on Windows, Mac and Linux.