Picking up, throwing, squatting, pressing, and just generally lifting/manhandling a sandbag.
Let's throw in pushing and pulling cars and other motor vehicles as well just for the fun of it....
And finally, my "essentials":
Some overhead press
Some kind of squat
Some kind of deadlift
Some kind of pushing motion (whether it be bench, weighted pushups, pushing a car, etc.)
Some kind of pulling motion (again, pulling a car, pulling yourself up a rope with just arms, etc.)
Some kind of sprinting