All that you have mentioned are based on the .308 case. Excellent choices.
Your twist rate is going to have a bearing on bullet weight. .308 is obviously the most versatile as you can choose bullets from 100-220 grain. .243 and 7-08 are going to be more restrictive on barrel twist. Lighter bullets for slow twist 1-12 or 1-10 bbls. Heavier bullets will be better with 1-9 or even 1-8 barrels.
If I was going to spend money, and get a current production round, based on the .308 case, to use on medium sized game, and have excellent accuracy, I would choose the............................260 Remington!! Basically a 6.5x308. Dies are cheap. You can use .308 brass so brass is cheap. Bullets from 120-150 grain are available.
If you don't like the 260, then my choice of your 3 would be the 7-08. Not as much recoil as the .308 and very versatile.
Steve
P.S. My .260 is an XP-100. Very accurate!