completist

[ kuh m-plee-tist ]
/ kəmˈpli tɪst /

noun

a person who attempts to complete a collection or set, especially a collector who wants to collect an example of every item in a particular field: This recording is a must for obsessive Sinatra completists.I'd only recommend this movie to Hepburn completists.

Origin of completist

First recorded in 1950–55; complet(e) + -ist

British Dictionary definitions for completist

completist
/ (kəmˈpliːtɪst) /

noun

a person who collects objects or memorabilia obsessively ardent John Wayne completists