Because visual matters play such a central role in our lives, many occupations would benefit from the study of art. Obvious professions such as an architect and fashion designer generally require art and art history studies as part of their preparation.
Many computer related jobs are heavily visually oriented. Web design depends on a good sense of 2D design. Numerous aspects of game design are inherently visual, especially the characters and settings.
Many aspects of film and video production, as well as theater, similarly would utilize art-related skills and appreciation.
Any type of job that utilizes 3 dimensional spatial orientation, such as urban transportation system design, would be helped by an art background. Garden design and landscape design similarly depend on having people with well trained eyes.