I have a few "favorite" hunting rifles, but if we narrow it down to deer/moose, there is only one, a Stainless Remington 700 BDL in a Sendero stock that is my go-to, all-weather rifle. It's also free-floated, epoxy, skim-bedded, atop the aluminum bedding block. Trigger is a Timney, set at 2.5 lbs and it sports a 3-9X Leupold in Weaver Detachable mounts. It consistently delivers sub-MOA accuracy with handloaded deer rounds.
For heavier varmints, a Tikka T3 Lite, .243 Win, also with a 3-9X Leupold. It also shoots sub-MOA, but is very pleasant to carry when looking for coyotes and other varmints. It has also taken several whitetails, mostly by grandkids of both persuasions.
My go-to walk-about varminter is my CZ 455 with .17 HMR fluted heavy barrel. Ammo isn't so expensive that I can't touch off a few at gongs placed in our secluded blueberry fields. The other day, I fired a few shots at a target with the .17 in the field and a doe came out on the right side of the field, less than 200 yards away and walked toward my position; eventually going between me and my target.
So much for deer avoiding gunshots. (I stopped firing at my target when it was in the field...content to watch her, and she approached to about 60 yards before exiting the field to my left.)