rifles.....
270 Winchester...150grnr whether you're a handloader or not(you don't say) w/a premium bullet(nosler, swift A-frame)
30-'06 165, 180, 200grnrs...same, premium bullets. i don't care too much for the 308s, they tend to run out of steam when you get to 180s & up.
the .338....good luck!!!! (make sure your health insurance is paid up) seriously, i'm not a wuss, (over 6' 2", & no flyweight), but i don't WANT to shoot a .338!! i had to get a wuss-pad when i developed a load for one. between issues w/scopes, brass, primers, & powder, i fired about 340-350rds through one when i was developing a load for it(250 Nosler). its been about 2yrs now, i can still "remember" it, the shoulder still feels a bit "different" somehow(but the client was pleased, he said he could put 3-4 covered by a quarter, before the recoil got to him). the 270, or the '06, loaded properly will do the job, & you won't get so flinchy by shooting them enough times to get used to putting the bullets where they need to be. at the end of the day, proper bullets, properly placed, not cartridge names, are what kills the best. if you got something that makes you wary of shooting it, well, that is sometimes the cause of lost game. if you shoot an elk, & he isn't hit right, you may find him 15 miles away, if you find him. shoot him with something you can handle, you should find him within, say 50-75yds. you don't say how much experience you have, but if its not a lot, i'd buy 5 or 6 boxes of ammo with the proper "cheap" bullet & shoot it over 4-5 weeks to get used to putting it where it belongs, then, buy 2-3 boxes with the controlled-expansion type, sight it in for that ammo, check your drop out to 200-250(y'never know, y'might get buck-fever & not hit it exactly right the first time) then go out to get one. HTH, & good luck!!