That depends on many things. To be the best big game to hunt, it has to be available. In that respect whitetail deer and mule deer are at the top. Hunters can't always afford to take a out of state or country trip so the hunt what they have to hunt. To many people Elk or moose may be the best big game to hunt. These people probably have huntable populations of these animals in thier area or have the money to take the trip and the luck to draw the tags. I have been fortunate enough to hunt moose and bear in Canada, Elk in the Black Hills in SD. and deer in Wyoming, SD, and ND. Because its a family and nieghbor thing I quess deer hunting makes it for me. Its a tradition started for me 48 years ago. The deer camp and family and friends that get together that time of year for the hunt is something I live for. I no longer have any desire to leave North America to hunt but thats just me. I like what I have here in North America. I have to add, there is no bad big game hunting. I have to wait another seven years to apply for Elk in SD. Will go for Moose and Bear again this Fall.