<p>Maybe I’m missing something, but it seems like a good first step would be to look for job listings for the kinds of roles you want to get, and see what they require. Do they say “CS degree”? If so, go with CS. If they say “BS degree”, then it doesn’t necessarily matter what your degree is in.</p>
<p>My impression is that jobs like this will probably want to see a portfolio of creative work you’ve done. This might include storyboards, concepts, graphics, dialogue, etc., but you’ll likely want to have developed a few games using a variety of recognized technologies.</p>