I've used a one-in-ten 6MM-06 on about everything but Elk over the last 20+ years. It's my favorite, but it needs tough, premium bullets to assure good penetration and fend off blow-ups.

Also, using bullets of less than 100 grains kinda begins to defeat the purpose of all that case capacity. I do use 70 grain Ballistic Tips on Coyotes now and then, but I'm losing some of my edge over a .243 every time I go to lighter bullets. My rifle shines with 100 grain loads on medium sized (Deer-type) game.