No, there has NEVER been an incident where a "faithless elector" has changed an election, and in all of US history only 150 some odd times has an elector not voted as pledged (the electors are pledged to vote for the state winner). More than half of those were the result of a VP candidate dying before taking office, the rest involved Martin Van Buren and Civil War politics and was addressed by the passage of the 14th Amendment (among other things). In most states (GA, WY, AK, come to mind) the electors are required by law to vote as pledged. In some (like Michigan) the state has to power to override the vote of a faithless elector. The Constitution orders the states to appoint a number of electors equal to the number of Congressional Reps in such a way as the state may direct. All 50 states and 4 voting territories select electors from the political party whose candidate won the election. These are not a group of political elites, the are all Republicans or Democrats depending on who won.
Everyone stamps their feet and makes a stink about how undemocratic the EC is but that is hardly the case and it exists for a very good reason. Furthermore it is provided for by the Constitution so to get rid of it would require the amendment process. That means asking the smaller states to vote against the constitutional provision that protects them from the populous states. It simply will not happen.
I wasn't saying that a faithless elector had ever gotten the wrong person elected, just that some electors have voted against their their state's legislature. There's a list on Wikipedia with all of the faithless electors, I think.
Anyway, whet the Electoral College does is to give more voting "power" to some individuals that live in less populous states, so I don't see how you can argue that the EC isn't undemocratic. Of course, as you say, the EC won't be removed, ever.