What do you want to do here?
Gaming is a broad industry with a lot of different paths, but I generally break it up into three main pillars: publishing, development and platforms/technology.
From making games to developing hardware (Nvidia/AMD come to mind) to leading marketing campaigns there is a home for all sorts of folks in the industry. I often start with the question: what do you enjoy doing before we try to slot you into something. If you want to write code, that’s a different beast from wanting to run ops on a platform.
I tend to avoid giving specific majors/fields of study and instead focus on asking people what part of the games supply chain they most enjoy the idea of working on. And from there, I tend to give feedback on what I know of that work and how the day-to-day is.
Put another way, someone who wants to do what I do would be far better off with an eclectic mix of social science, law (contracts, lots of them), and business economics than trying to drill into knowing the differences between C++ and C#. My limited coding knowledge can help detect sandbagging from devs, but it isn’t going to do much when the issue is unsticking a stubborn exec who’s worried about impacts to their timelines.
Game Design Majors
That all being said, I tend to look a bit sideways at game design majors because I frankly don’t think that anyone really knows that makes a game “stick” in the market. Put another way: guys like Shigeru Miyamoto and Hideo Kojima have historically broken lots of “rules.” The auteur game design folks demonstrate to me that games are a moving target and what people need to make good games can be at times ineffable. You can observe stuff like Gears of War and say that Cliff B figured it out, but by the time he did so, the mechanics were already stale and basic.
My advice, generally speaking, is to be a ravenous consumer of art and media while honing repeatable skills. If you want to work in design, then become a talented coder. Seems simple enough, but the world is littered with folks who say they can do “x” and really cannot. To borrow from perhaps outdated parlance: GIT GUD (get good.) But there’s more to that than just knowing how C works. Learn how to THINK. Look at how games like Zelda: Tears of the Kingdom managed to make a complex physics engine work on hardware from 2015. Learn how Rockstar makes open world games feel vibrant and alive with fun and engaging physics and social interaction. Learn how writers… write.
READ. Watch good movies. Play a variety of games (get out of your comfort zone!)
You ever watch interviews with successful musical artists and even the guys playing punk rock talk about how they listen to jazz and like… Bach? Be that. Do that.
Once you figure out what you want to do, then develop a range of skills that make doing it possible. Don’t worry so much about a specific major as much as you worry about developing a range of skills that make you able to do a variety of things.