How are Fender Custom Shop basses finished?

Like the right handed versions, Fender Custom Shop's left handed basses are available in all of the different Time Machine relic stages, finished with nitrocellulose lacquer which gives a vintage appearance.

Which bass models do Fender Custom Shop offer as left handed instruments?

Fender offer many varieties of their two most famous designs - the Precision bass and the Jazz bass - as lefty models. This is in addition to some artist models from time to time. Signature basses from Pino Palladino and Jaco Pastorius, for example, have been available as left handed basses.