I agree with those who said you have to know what your needs are before making a list. This list will take care of anything on the North American Continent, urban or rural.
1. A .357 magnum revolver, four inch barrel. Can be loaded light or heavy to take most game though the next gun on the list would be preferable for medium or larger game. It makes an excellent home defense weapon and can be open carried and concealed carry with a jacket or sweatshirt. My personal choice would be a SW K-frame like the Model 19.
2. .44 mag revolver with six inch barrel; probably a single action Ruger for strength purposes. To hunt medium or larger game or to carry for emergency use when in "bear country."
3. Small .380 for concealed carry wearing just about any clothing. Choices include Ruger LCP, Sig P238, Kel-Tec 3PAT, and similar. My personal choice would be the Sig P238.
4. AR-15 style rifle. Everyone needs to have a rifle that is compatible with our nation's standard military long gun. Many choices. I have the SW M&P Tactical.
5. A 12 gauge pump shotgun. These include Remington Model 870, Ithaca Model 37, and Mossberg 500 series. I have the latter two. The shotgun is extremely versatile for hunting and home defense.
6. A .22LR handgun for possible hunting but mostly for plinking and target practice. I like the Ruger MK-II.
7. A .22LR rifle, again for possible hunting but mostly for plinking and target practice.
8. A bolt action .30-06 or, possibly, a .308. Properly loaded, a .30-06 or .308 can take any game in North America though grizzlies and polar bears would stretch their capabilities. Remington, Savage, others.
9. A .243 bolt action rifle for flat shooting at small/medium sized game and varmints.
10. Wildcard - either a .410 gauge pump for small game or a .45 1911 because life's too short to carry an ugly gun.
I should add that some the caliber choices are because ammo is widely available. For example, a .243 might not be the best caliber for the use mentioned, you'll probably find some ammo for it just about anywhere you go.