Since I have no interest in anything larger than maybe an elk and if I was starting from scratch and not considering I already have a bunch of reloading supplies mine would be:

22lr
.223
.308 win

I will admit however that the 223 could be just as well replaced by a .222 or 22-250. The 308 could just as well be covered by anyone of a dozen mid sized cartridges such as the .270, 30-06, 7x57 etc. in Ky 270 is min for elk.