According to Article 2, clause 3 of the US Constitution (since replaced by the 12th Amendment):
In every Case, after the Choice of the President, the Person having the greatest Number of Votes of the Electors shall be the Vice President.
So the first place winner became the President and the second place winner became the Vice President. Are there any similar elections these days? Note that I'm not asking about votes where multiple people on the ballot become elected members with equal rights, but rather where the positions are distinct.