On the BBC Wales news feed today for the local elections it was reported that in three separate councils had candidates with an equal number of votes after a recount - so they drew lots (pulled pieces of paper at from a box) to decide who was elected.
As shown in this tweet by Hywel Trewyn (video included):
In a tied vote both with 132 returning officer Dilwyn Williams settles matter by picking out Richard Hughes beating Plaid's John Wynn Jones
This strikes me as a very random way to resolve the democratic process. What other options are available and used in other democracies?