The last time the Cubs won the World Series was 1908.
The last time the Cubs won the NL pennant was 1945.
In the interim they've had Ernie Banks, Ron Santo, Lee Smith, Ryne Sandberg, Andre Dawson, Sammy Sosa, Kerry Wood, Mark Prior, Carlos Zambrano, Geovany Soto and a host of other greats that would take a full article to list.
They have also had the Billy Goat and Steve Bartman.
Since Game 4 of the 2003 NLCS, where they took an ultimately futile 3-1 series lead over the Florida Marlins, they're in the middle of a 9-game postseason losing streak, including Division Series sweeps in 2007 (to the Diamondbacks) and in 2008 (to the Dodgers).
Maybe there is something to that whole curse thing after all...