Hondamatic is the only one I am familiar with... however, I think some of the big tourers are bringing it back... Yamaha FJR is one I think...
The YCCS FJR is not automatic. It just does all the shifting and clutching at the push of a button. Actuators operate the clutch and shift mechanisms. Clutch slip and shift speed are all programed in the ecu.
there is a small cruiser company that makes nothing but auto bikes. I think theyre CVT actually but let me look.
Parking is an issue. They will roll. The Hondamatic has a parking brake operated by a cable. The rear brake pedal is designed with notches so when you step down and apply the brake, you push on the cable to keep the rear wheel locked (master cylinder assisted drum brake).
They weren't designed well and I am having trouble finding one in working condition.