As far as I am aware, any art or technical arts degree would be sufficient. From what I have read here in the past, applications seem to be weighted on the strength of the portfolio rather than degree title.
What is the difference between a career in game programming and a career in game development? Game development is a vanilla term that covers every development position including (but not neccessarily restricted to) programming, design, audio and art.
Programmers are responsibile for programming, not for developing art assets. I'm learning programming, and I have no artistic ability beyond technical engineering drawings.