I've posted it in between sports a few days ago, but maybe this could be fun suggestion for an Olympic prediction game, stolen from a Dutch forum, where it's basically called 'Team of Gods'
The main premise is very simple: you take the following table, and fill it up with individual athletes you think will win a certain event. If the athletes wins said event, you get the points. Player with the most points wins. There's also a table for team events (being defined as every event where a medal is by rule won by more than one athlete at a time, so ice hockey obviously, but also doubles luge or 'mixed team short skateboard track figure shooting' or whatever gets added). The team event table goes from 30 to 27 to 24 all the way down to 3. Obviously the idea is to put your most certain winners highest.
The lower number of events at the Winter Olympics might make it better to not go for 32 and 11, but for - just guessing - 20 and 6 or so, but it could also be a good moment to try it out here
It's simple and keeping track of points is even simpler (just add the wins, done), and of course just for fun.