Handgun: Glock 17 with X300 (Alt: Walther PPQ)
The handgun I have most experience with. Simple operation and can easily teach a new shooter to be (somewhat) proficient quickly. 9 mm is readily available and not that expensive. Lots of aftermarket support for Glock as well as stuff like holsters, mag pouches, etc.
Carbine/Rifle: AR with red dot, BUIS, light, and sling
The long gun I have most experience with. Mild recoiling and easy to control. Can easily teach new shooter to be (somewhat) proficient quickly. 5.56 is readily available and not that expensive. Firearm and ammo not all on lighter side given other comparable choices, like 7.62x39. Easy to mod, repair, etc. Easy to maintain and keep shooting with minimal effort. Wide range of uses, from defense to some hunting.
Shotgun: Some sort of Benelli semi-auto (I'd have to buy one first though. . .

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Proven reliability of Benelli shotguns. Not personally a fan of shotguns in general, but mostly because I haven't had that much experience with them.
Wild Card (since Stang went there): Semi-auto .308.
Can be used for hunting larger animals as well as deter the two-legged variety. .308 ammo is readily available. Semi-auto as opposed to a bolt action in applications other than hunting. I currently only have a bolt action .308, but that would be my next best choice for the wild card.