The Vanishing of Ethan Carter
This one has no VR controller support, so it should be ideal for the Omni. I've been trying to get the Oculus Home build to work via x360ce but I've yet to find a combination of Game Options that successfully hooks.
edited March 2
I tried The Vanishing of Ethan Carter with x360ce a long time ago (with the Steam build), unfortunately could not get it to work. Sadly, they removed WASD input. When questioned about this, they said it was in response to Oculus' best practice guidelines. A pity - it's a very nice looking game and I would love to have played it with the Omni.
Community Manager at Virtuix