I'd hate to have only three, but if I had to, I'd choose from my favourites the following:
AyA #53 12 ga. 28" 2-3/4" IC/Mod with straight grip, double triggers, and all the stye and grace one could hope for. Wonderful in the uplands, OK on clays, and even though it's not ideal for waterfowl, I'd use bismuth shot for that.
Brno ZKK 600 .30-06 customized by gunsmith / artist Chris Griesbach. Mounted with Kahles 2-7x36 scope. About as versatile and reliable a rifle as one could hope for.
Anschutz 1415 .22 WMR with Zeiss 4x Covers all the small game and varmints I'd care to pursue.