Depends on what it's to be perfect for. If it's for everything, then that's a challenge, but if it can just be perfect, then that's purpose-driven.
Perfect prairie dog rifle: I could go with either a Cooper in .223 or a heavy 24-26" AR in .223. 4x16 Burris or Zeiss or something. Perfect all-around varmint rig would probably bump up the caliber to a 6mm, probably a .243 AI (since we're being fussy and perfect), and make it one of those fancy Coopers again, wearing Claro Walnut and a Zeiss scope.
Perfect walking-around, rough country rifle for everything from coyotes up through deer: A lightweight Savage in a synthetic stock, with a Redfield 2x7 or 3x9, chambered in .243 Win (or possibly .260 Rem or 7mm-08, if I decided I needed heavier bullets, but I really like the .243 and it's easy to find ammo off the shelf in a pinch), with a QD scope base and iron sights, and a QD bipod for setting up on ridges and hitting Coues deer and coyotes when you can't get close to 'em.
Perfect Utah mule deer rifle: a T/C Hawken, .50 caliber is great for mountain hunting mule deer. You can stalk up close to them. Winchester 94 in .30-30 would do great for that, too, and black bears.
Elk rifle: Winchester Mod 70, .30'06, grey synthetic stock, Nikon 3x9. My brother sold it to someone else without telling me, the jerk.
The only .30'06 I've shot that I actually liked.
See, I just can't get ONE perfect gun. They're all perfect for what they're for.