While the Dolphin emulator has a lot of mind share, and recently announced DirectX 12 support, they have only just recently discussed working on the open alternative, Vulkan. It looks like the LibRetro developer community will beat them with an update to RetroArch and the LibRetro API. The page for RetroArch 1.3.5 exists as of (according to Google) yesterday, but 404s, so it should be coming soon. It is still in experimental mode, but it's better than nothing.
Interestingly, they also claim that their Vulkan port of Angrylion makes use of asynchronous compute. It's unclear what it uses that for, but I'm sure it will make for interesting benchmarks.