Coin Tossing

I know this has happened in Liverpool's history (1965 vs Cologne - the win set Liverpool up for a semi-final against Inter Milan), but the BBC currently has an article about when Celtic beat Benfica in the 1969 CL quarter final by tossing a coin.

The sides could not be separated after extra-time and the dreaded toss of a coin was used to determine who would progress to the semi-finals of the European Cup.
Lisbon Lion Billy McNeill said it was a terrible way to decide the game, but he felt Celtic deserved to progress at the expense of their Portuguese opponents.
...
The Celtic captain said none of the players involved that night wanted the game to be decided in such a manner.
"The toss of a coin was a farcical way of deciding a quarter final - irrespective of who won," said McNeill, who was part of Celtic's delegation.
...
"I'll be hoping Celtic produce a better performance against Benfica in Lisbon than we did."
Whatever happens in Lisbon, the only certainty is that heads or tails will not decide Celtic's fate.

Let those who disapprove of penalties consider a real lottery...