There's no certificated 3C approaches or equipment, but category 3B autopilots will arm at DH, and then continue all the way down and flare and land.
For that matter, there's all the emergency landing autopilots showing up in turboprops now. Push a button and wait to be on the ground. https://www.youtube.com/watch?v=d-ruFmgTpqA&t=219s
There's no certificated 3C approaches or equipment, but category 3B autopilots will arm at DH, and then continue all the way down and flare and land.
For that matter, there's all the emergency landing autopilots showing up in turboprops now. Push a button and wait to be on the ground. https://www.youtube.com/watch?v=d-ruFmgTpqA&t=219s