Elections where the winning party lost the popular vote.

[Vosem]

Vermont retains the system to this day, and actually put it in practice last month.  However, I don't know of any time when the second-placed candidate was selected.

The custom in Vermont is to always select whoever came in first under FPTP, regardless of politics. This was last broken in the lieutenant gubernatorial election of 1970, because the candidate who came in first had fallen under an ethical cloud since the election.