One doctor on the list:
Dr Stephen MaturinRead about another doctor on the list.
In the Napoleonic nautical yarns of Patrick O'Brian, Maturin is right-hand man to Captain Jack Aubrey. As well as being the ship's surgeon, Maturin is a part-time spy and a famous naturalist. Fluent in a dozen languages, he is something of a bohemian: a former opium addict and an accomplished cellist and flautist. Sometimes he has time to cure people.
The Aubrey/Maturin Series by Patrick O'Brian also appears on Bella Bathurst's top ten list of books on the sea. Master & Commander, the first book in the series, is one of Peter Mayle's six best books.
Also see Mullan's list of ten of the best bad doctors in fiction.