Rockstar has released an update for L.A. Noire: The VR Case Files which now adds Oculus Rift support.
The game came out last December with Vive compatibility but now it also supports the Rift and Oculus Touch controllers. The update is now available on Steam and the game is now also available in the Oculus store.
L.A. Noire: The VR Case Files is not the full L.A Noire game but instead takes seven self-contained casess from the game and puts them into VR. It’s quite well done but the third-person teleport movement view is a little weird. It does have its quirks but if you enjoyed the non-VR version then this is worth checking out. It is a little pricey still though.