If I'm limited to what I already own, it would be:
Long gun: Remington 870 Express Marine Magnum with a mix of 00 Buck and slugs
Handgun: Beretta 92FS
If I could choose from any gun in the world, it would be:
Long gun: Colt M4, 16", select-fire, with a Trijicon ACOG and Surefire Scout light
Handgun: Beretta 92FS
If it were one of those "dropped in the middle of the wilderness, no cleaning supplies or spare parts, defend against bears, lions, natives, armies, crocodiles, etc." scenarios, I'd probably go with:
Long gun: Remington 870 Express Marine Magnum with a mix of 00 Buck, birdshot and slugs
Handgun: Ruger GP100 4" stainless .357