Most fun-Antelope, most traditional-Whitetail, most exciting-Bear, most remembered-Caribou, easiest-Sitka Blacktail, the one that always got away-Elk.
Every big game hunt was a good time for me one way or another, even when things went awry. People, places, scenery, travels, meals, etc. all play into having a good hunt, bagging game was a secondary bonus, other than my early years Wisconsin Whitetail hunting, that was doing your part in getting meat for the table that was needed. In other words, it's all about the experiences one has that will turn into memories, the more different ones you have the better off you are.