I find it hard to pick one "favourite" ... perhaps one of these:
Horseback / pack train hunt for mountain caribou and goats in the Selwyn mountains of the Yukon territory. With Moose and Grizzly and wolf as side dish possibilities. Or Manitoban bull elk in the rut, regular rifle season, second week of September at home in Saskatchewan. Or a traditional Druckjagd, driven game hunt in Germany for roe deer, wild boar and fox. Lots of tradition, culture and plenty of game action. Or a plains game hunt in the Eastern Cape, South Africa. Elusive Kudu in the rough and brushy hills are wonderful quarry. Or Cape buffalo in Namibia's Zambezi region, on the Chobe river floodplains. Lots of elephant and crocodiles and hippos to watch out for while stalking the buffalo. Or just chasing the enormous whitetails of Saskatchewan with a muzzle loader and a call and rattling antlers in the golden Indian summer days of late October.