When watching anime, I often believe to notice a relative movement of foreground (e.g. characters, props) to the background (e.g. landscapes, 2nd plan). I of course focus on the foreground, and only "register" the background. I somewhat recollect that in films, finding places to shoot a scene is a "lesser" task delegated to younger, less expensive, less creative people. Then the creative person would evaluate 3-4 options that are presented, and choose one venue which would then be used to shoot the scene. I thus wondered, if drawing the background in anime is done in a similar way, that it is delegated to a certain responsible person, and that the foreground is drawn by the primary artistic responsible - or - are they both done by the same person - or - is there some other delegation of drawing among different people?
Backgrounds and characters are usually made by different people and companies for movies and series, but there's no activity less creative than another as your answer may suggests.
For example, Kusanagi is a company specialized in backgrounds for many anime produced by different studios like Waiting in the Summer (J.C. Staff) and Mobile Suit Gundam 00 (Sunrise). The ANN article about Waiting in the Summer show companies and people involved in the process, the Art director is from Kusanagi (backgrounds) and not from J.C. Staff (animation production).
Changing the perspective from companies to authors, this interview by NHK shows how Makoto Shinkai and his staff make backgrounds and storyboard (12:09~13:40). He shoot a scene using a camera and then pass this material to his assistants. In this case this task is taken by the director itself, leaving the team working on the material he provided according to the storyboard.
However, Makoto Shinkai started his career as independent animator with Hoshi no Koe, where he do animation, backgrounds and characters alone, so this rule doesn't necessarily apply to independent productions where staff is limited.
In this answer covering all key roles of an animation production, inbetweening is cited as a "relatively non-creative" job, so when you ask about a (relatively) non-creative job there is no foreground-background (as viewer) dichotomy but a creative-repetitive (as job) dichotomy.