The release of v5.0 of the Dolphin emulator has one very cool trick: it now has proper support for the HTC Vive and Oculus Rift.
Below is JoshDub (thanks, RPS) playing through the game everyone is going to jump to first: Metroid Prime, which is perfect for the platform given its visor-like HUD.
It’s not perfect, but for a game released over ten years ago, things seem to be working pretty well!
A lot better than they are, sadly, for the game I’d most want to play in VR: Wind Waker (which does have a first-person mode, but it’s very limited).