While ugly, many of the slip on butt pads can make a smaller sized rifle feel bigger than it is. I used one on a 10-22 to bring it up from their carbine length stock to something more manageable for an adult. It wasn't as elegant as buying an Anschutz but it also didn't cost near as much either.
If you have the money, an Anschutz, Cooper, or Kimber should all shoulder and handle like a full sized rifle. They do come at a premium though, but they are all top performing rifles, in their respective listed order.
CZ makes some rifles that feel larger also. Their Varmint and Lux (of which I own and have shot extensively) both fit a full sized adult.
The Henry lever action is very handy but it is too small for me to enjoy as much as a 39a. The Henry feels like a scaled down youth model 22lr while the 39a feels like a full sized lever action. Sometimes the more handy Henry is a better fit for a job, but for enjoyment, I much prefer the 39a.
I have a few older Remington's as well and they all feel like full sized centerfires. My Ancshutz's are very nice shooters and fit well, though they weren't cheap. The Kimber's are great rifles, though again came at a premium. The old Remington 40x is the same footprint as a 722/700 action and feels full sized, though most are single shot or very pricey.
On a budget, I'd grab a slip on recoil pad. A little more budget, I'd find a CZ or a used Remington/Winchester or Marlin 39a. On a large budget I'd go with an Anschutz, Cooper, or Kimber.
