North Carolina has long been one of the medium sized game dev hubs. This is the home of Epic, Insomniac, Red Storm, and Funcom as well as several smaller studios.
Epic has listed internships for Fall for early career, students and recent grads. Their internships are paid remote internships requiring 40 hours a week remote work.
Art internship information: https://epicgames.wd5.myworkdayjobs.com/en-US/Epic_Games/job/Cary-NC/Art-Internship_R1810-2
Engineering internship information: https://epicgames.wd5.myworkdayjobs.com/en-US/Epic_Games/job/Cary-NC/Epic-Games-Programming-Internships—Fall-2020_R2527
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Insomniac also has one of their two main studios in the Raleigh area. They currently have a few art and design positions open, including environment art, technical art, animation and character art. There is an associate designer position as well. https://insomniac.games/careers/
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Red Storm has a few openings: http://www.redstorm.com/careers
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Grover Gaming https://grovergaming.com/careers/ has jobs currently. a couple 3D generalist positions and a couple programmer positions as well as other types of jobs. This is not a video game company, but rather an electronic games company, primarily slot machines.
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Applied Research Associates is a larger company that has a studio called Virtual Heroes in North Carolina. Here is a link to job openings they have across several of their studios. https://recruiting.ultipro.com/APP1010ARAI/JobBoard/07442cec-d18e-4589-ab15-8342edc29af7/?q=virtual+heroes&o=relevance&w=&wc=&we=&wpst=