[caseysoftware]

Most of which are Parliamentary systems which are very similar structurally.

In those cases, you don't directly elect a Prime Minister either. You elect an MP in little winner-take-all elections and then the party (or coalition) gets together and elect the PM from their own ranks.

It's not quite 1:1 with an Electoral College but it's not direct democracy either.

Which countries are direct democracies?