RE: 13 using a 308
I've deer hunted with 30-30, 30-06, 308, 7mag, 44 mag, 45-70, 12ga slug, 00Buck, #1 Buck, 50 Cal ML, and 22mag, and the 308 is my most favorite by far. Recoil is minimal, and it strikes deer like lightening.
Right now, my deer hunting rig is a 308 BLR with 1.5x6 simmons. I use 150 gr Win PowerPoints. The powerpoint is a very soft bullet, that expands great. Yet it holds together well enough to plow through heavy bone. Best of all, they are inexpensive. On average, deer run about 20 yds with great blood trails. I've never lost a deer, regardless of shot placement - shoulder, heart, lung, neck. I always get exit wounds of about 2" too.
I'm zeroed 1" high at 100 yds. And feel comfortable out to 250 yds.
The 308 is also great for black bear, elk, moose, caribou, sheep, prong horn, and cougar out to 300 yds. Your biggest problem with the 308 is having enough freezer space.