What I have found is WeatherSide from GAF.
This company offers several different profiles of the siding so you should be able to find something to match up with what is already on your house.
My favorite of all is the wavy edge shingle.
You can also get it in straight edge and thatched edge. My second pick would be the thatched design.
They offer other products as well, such as striated surface straight edge shingles.
I think this is probably an invaluable resource if you need to replace some damaged asbestos siding. You can view the GAF website here: GAF WeatherSide.
Please remember that asbestos is a dangerous material, and it is really best to not disturb it if at all possible. I highly recommend you consider having a professional remove and replace the damaged pieces.
Lastly, as always, I have no affiliation with the above manufacturer. I have added this to the blog to help those who need to replace or restore their vintage asbestos siding. Good luck with your restoration!