Court's voice acting career spans animation and video games. She's best known in animation for roles like Jubilee in X-Men: The Animated Series (1992) and Lydia Deetz in the Beetlejuice cartoon adaptation—a part originally made famous by Winona Ryder in the 1988 film. Other animated credits include Malani in Star Wars: Ewoks, characters on The Mr. Men Show and Timothy Goes To School, and more recent work voicing Dahlia in Skyland and Coco in Urban Vermin.

In video games, she's particularly recognized for voicing Claire Redfield across multiple Resident Evil titles, including Resident Evil 2, Code: Veronica, and Outbreak (where she also played Yoko Suzuki). She reprised the Claire Redfield role in Resident Evil: Degeneration.