Excluding the .22LR I'd say that all a guy really needs, if he wants to have a wide range of capability that exceeds just one rifle, is a 22-250, .308, and something larger. For larger I'm leaning towards the 9.3x62 for North America, but if I was anywhere else I'd opt for the .375 H&H.
The 22-250 can be replaced by a .223 easily enough and the 30-06 can take the place of the .308 if you desire. Those are just my choices, and my opinion is worth exactly what you paid for it. I'm not much of a fan of having a wide selection of rifles, but prefer having a limited few that can do multiple things, and take multiple game.
If I had to narrow it down to just two rifles it would be the .223 and the 9.3 or .375 H&H. 7mm-08 has never been one that I've liked, but that's just me. It doesn't do anything that the .308 doesn't already do.
FWIW: my first deer rifle was a 7mm-o8. Then I went with a .243 and even found it suitable for elk, as well as the .270. As I've gotten older I'd rather have three or four really good rifles than an assortment of calibers that replicate each other.
I base my selections on the game I may encounter. For me that's coyotes, mountain lion, antelope, deer, bear, bison, and hopefully moose, and the calibers ability to make a kill under less than optimal conditions. Except for the .375 H&H and handguns, I'm not much of a fan of magnum calibers, but that's just me.
BikerRN