I ordered the youth stock for my .30-30 Handi a few years ago. My son was 13 and just starting his hunting experience at the time. He's 16 now (today, in fact) and I've set him up with a nice, clean, used Marlin 336 (also in .30-30) topped off with an equally clean Burris Fullfield 2.5X scope as his first "very own" rifle. (It's his birthday present).
The Handi, however, remains in "youth" mode. Our county Wildlife Unlimited works with younger hunters (some of whom have no adult hunter in their home). Michigan has a program that sets aside one weekend in September to introduce kids to the hunting life. We (our county WU group) purchase their license, take them to a range to train and equip them with a rifle to use, serve as "guide" in a blind which overlooks food plots or travel routes to same, assist them in field dressing and even pay for processesing. It's a very rewarding program. My .30-30 Handi serves perfectly as a teaching rifle that has limited recoil and adequate power to cleanly harvest whitetails. Oh, and this rifle will put 3/150 gr. Remingtons into about an inch @ 100 yards with great regularity.
Of course, there are other rifle/cartridge combinations that would serve equally well. I'm just very pleased with this set up.