Hunting? Target shooting? What distance(s)?
Remington .308s tend to have throats that are quite long; if you are loading your ammo to magazine length, you can't avoid having a *lot* of jump, with spitzer bullets. So, choose a bullet that is tolerant of jump - good choices would be Sierra 168s, 175s, Berger 155.5s, etc. Don't choose a bullet that probably needs to be loaded a pretty specific distance from the lands (e.g. VLDs, Lapua 155, etc), if you want to be able to feed your ammo from your magazine.
Sierra 190 Matchkings can be loaded far out enough to touch the lands; the ammo ends up being way too long (3.0", or 3.1" IIRC?) to fit the magazine or to fit standard .308 ammo boxes, but can produce very good results.