I'm going to go against the flow as well.

If you're looking for basic I'd go with a single shot, break action, single barrel 12 gauge shotgun and a bolt action .22 rifle with maybe a 5-10 round magazine. Both are inexpensive, reliable, and accurate.

If you're hunting you should be close enough to take care of business with a single shot or you shouldn't be taking the shot---ever!

Additionally, you can purchase inserts to shoot .22 out of the 12 gauge
http://www.gunadapters.com/categories/Shotgun-Adapters/12-gauge/

This gives you two firearms capable of firing the same ammo. There are other adapters available as well, but at least you've got a backup. I'm a fan of backups.

There's little game in North America that can't be taken with a 12 gauge either shot or slug. Just have to be close enough and hit the right target. You'll have to pattern the gun to see how it shoots and with different shot loads for birds but that's just part of sighting it in.

You can also shoot trap with it. Good place to start and learn your firearm.

Good luck.