You can never go wrong with a 30/30 lever action for deer hunting. I would also recommend the savage or the Tikka rifle for the price point this are one of the most accurate rifles out of the box. Caliber wise if recoil is a problem go with a 243 or 7mm-08.
In my opinion the 7mm-08 does what the 308 does with less recoil and lighter bullets, but the 308 has advangtage especially in load developement since there are more 30 cal bullets to choose from than the 7mm-08.