to move across or past something: to cross over, pass by, pass through, or move on
This is the everyday meaning, and the great bulk of the word's uses sit here. The picture is always the same: someone or something is on one side of a line and ends up on the other, or moves past a fixed point. The line can be a river, a border, a person standing in the road, or simply the place where you were a moment ago.
The shades all grow out of that one picture. Crossing a river or a boundary is the strong form, used again and again for Israel crossing the Jordan into the land. Passing by is the same motion seen from the side of the thing left behind, which is why a passerby and a thing that slips out of sight are both named with this word. Passing through is the motion seen as going into and out the far side of a place.
From physical movement the word stretches naturally to time and to things that do not last. A day, a season, or a life can pass over and be gone, so the word also carries the sense of vanishing or being over. Wind, water, and trouble pass over a person the same way, sometimes sweeping them away. The reader should let context decide whether the motion is across a place, past a point, or away into nothing.