Do they make new washerless faucets with the same layout as this pic of an old washer style faucet?

I've got one just like this one in the pic and I think this is what is leaking inside the wall. It's probably the divertor because the washer hasn't been replaced in a decade at least (40 yr old faucet). I can't get the handle off of it anyway. Do they still sell similar style faucets? I don't want to screw with retiling the shower or having a huge retrofit plate to hide the repair for a new single handle faucet. I can cut the drywall behind the faucet for all access. I'd like to replace the faucet in the same tile holes (hot. cold, divertor) with a modern faucet with replacement cartridges. I want to get away from the washers and retain the tile work.