You can score from second base several ways. First, you can score on a single if it is hit far enough. You can also score on an error. You can steal third and make it home on a bunt or a hit. You can reach home from second base with a sacrifice hit, or an extra base hit by the batter.
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I don't know how many ways, but here are the ones that I can think of.
The batter hits a home run. (Even though he passes the base, he still reaches it)
The batter hits a triple.
The batter hits a double.
The batter hits a ground-rule double.
The batter hits a ball that gets stuck or lost in the outfield wall (or ivy) or other structure.
The batter hits a single, but a fielder's error allows the batter to take an extra base.
I can't think of any others.