Here's a chart detailing how long it's been since each Major League team has been to the postseason, along with (highlighted in green) who would go this year if the season ended today:

I'm rooting for the Jays, of course, and not only because I'm an inveterate Yankees hater. It's just good to see new teams in October. 

Once that happens, of course, it means my Seattle Mariners would not only be one of two franchises to never get to the World Series (Expos/Nats), but we would have the longest postseason drought of any MLB team. M's fans knew hope at the beginning of this season, but it's been back to gallows humor ever since.