Sometimes big companies--game companies are rarely big companies--will have a hard-and-fast degree requirement. Why? Because they leave hiring to the Human Resources department (usually a big mistake), and the HR people frequently don't have a clue about the job they're hiring for. Their main interest is simplifying their task by setting absolute rules. An easy way to do this is to require a certain degree. This puts off many potential applicants, and enables the HR person to easily weed out other applications because the required degree isn't there.
But you don't want to work for a company like that, not if you're creative and imaginative and self-motivated. When HR takes over hiring, you have a company that's already crippled. (Yes, a great many companies are crippled. And it shows.)
"The worst form of inequality is to try to make unequal things equal." -- Aristotle
"Always do right--this will gratify some and astonish the rest."Mark Twain
"A designer knows he has achieved perfection not when there is nothing left to add, but when there is nothing left to take away." Antoine de Saint-Exup'ery
"Not everything that can be counted counts, and not everything that counts can be counted." Albert Einstein
"Make everything as simple as possible, but not simpler." Albert Einstein