To my knowledge all bespoke shoes are hand welted. As for ready-to-wear hand-welted shoes, there are a few companies that do it:
Meermin's Linea Maestro line (they do traditional Goodyear-welting for a lower price and charge a slight premium for the Hand-welted)
George Cleverley's Anthony Cleverley line
These are the ones that immediately come to mind. Others may be able to add to the list. Something to be aware of... Because Goodyear-welting has become the commonly understood "finest" shoe construction, some of these companies call their Hand-welted shoes "Handsewn Goodyear", or "Handmade Goodyear." This has no doubt confused many people seeking to learn the difference, but it is important to remember that a shoe can't be both Hand-welted and Goodyear-welted. They are mutually exclusive. Goodyear-welting is the industrial revolution's adaptation of a traditional Hand-welted shoe, nothing more. Since Goodyear-welting has become known as the "finest", many of the manufacturers that do Hand-welting will still throw in the Goodyear name to grab the attention of those that are unaware of this history.
How could I forget Vass? Vass is Hand-welted.