My Five for the US are:
22LR - Small game and varmints
223 Rem - Varmints, target, and medium game
308 Win - Big game, target, and varmint - preditor
338 Win mag - Extra large game
12 ga - from small game to water fowel to big game getter.
I think these five are easy to find in most gun shops, multiple loading are made for each caliber with a wide variety of bullet/ projectile designs and the diversity of rifles and shotguns made for them allows you multiple hunting situations.
I think with three 22LR rifles, three 223 rifles, and two or three 308 rifles and two 338 rilfes you can meet any shooting or hunting situation.
With that said, I am glad I have.177 pellet, 17HMR, 22 Mag, .22 Hornet, 6.5X55, 7X57,30 Carbine, 30-30, 30-06, 7.62x39, 303 Brit, 8X57, 357 mag, 375 H&H, 44 Mag, 45-70 and almost all the shotgun guages as calibers in my stable for hunting and many have multiple rifles in that caliber to meet or exceed every hunting siutuation you can think of. Ok I want to add another 223 an other 308 Win, a 300 H&H, another 375H&H and a 470NE to my stable.
You tell me we are headed here to hunt this and I am ready to go.