I agree with Josh. A degree is more than just the classes that you take. It takes a certain level of motivation to earn a degree and it shows right away that the person who earned the degree had the ability to complete something that they started.
Also taking a variety of classes expands your thinking and makes you a more well rounded person. For example I believe that classes such as technical writing and courses on computer ethics/law/and security are important classes to take.
I would personally view a job candidate that did not have a degree and only had taken classes that interest them as someone who might not stick through the game creation process. There are parts of making a game that are really fun, but there are other parts that take a lot of determination and motivation to get through. Some parts of making a game require a determination to struggle through difficult, boring, or tedious tasks.