Meyer is best known for appearing as a henchman in the 1983 James Bond film Octopussy as a circus performer with a talent for knife throwing alongside his twin. In the film the twins were known as Mischka and Grischka. David played Mischka (credited as Twin One).
His cinematic career peaked in the 1980s. Since then he has been working with the Shakespeare's Globe and recently played Sir Isaac Newton touring the US and appearing at the Royal Society.