In the US, some of the top programs include those at:

– Carnegie Mellon

– University of California, Los Angeles

– University of California, San Diego

– University of Southern California

– New York University

– Rensselaer Polytechnic

– Massachusetts Institute of Technology

– Stanford University

– Southern Methodist University (Guildhall)

You’d also want to take a serious look at Digipen. That’s a newer program, but it has established one heck of a reputation in the field. It’s very high profile in the industry. I’ll link, below:

Sometimes, they aren’t listed as “gaming” specifically, but instead are tucked under programs such as multimedia or animation or interactive media or things such as that. It’s rarely listed out as “game design” or the like.