For me it has to be Alaska. It's just a different world up there and the unique types of game combined with the unbelievable scenery can't be beat. As for what type of game is the best, anything up there! It's more about the experience in The Great Land, moose, sheep, caribou, grizz take your pick!
You can see a lot of Alaska pics on my website,
www.deadonoutdooradventures.com. I also offer some top flight lion hunts as well. If I can make one recommendation on your lion hunt regardless of where you go, make sure you book an on call, flexible date type of hunt. This way you get the good weather you need. You won't be sorry! Best of luck