no time limit and no budget?!!!!!!
First to Africa for everything in plains game and big 5 (just a couple of months), then a small detour through Kazakhstan for urial/ marco polo sheep, then a return via alaska for moose, caribou, wolves, wolverine, black and coastal brown bear and grizzly (another month or so) then come back through west texas for pronghorn and mule deer. I would take my brother and bring along the .458 lott, the .375 h&h, the .300 mag, and the 7mm-08. Then I would build a new house (aka trophy room).