Several of the Corolla guys have supercharged their cars, with either the factory supercharger with the 1ZZ or an aftermarket supercharger on the 2ZZ. A few have put a turbo on their 2ZZ and 1ZZ, but Kiethvibe here on Genvibe has put a Turbo AWD, and a few members have superchargers, such as Bluecrush. Someone from Matrix Owners has twincharged their 1ZZ automatic Matrix (factory supercharger AND a turbo). You already have the 5-spd, which can take more than the automatic. Maybe take a look at http://backyardturbo.com/
and take a look at the BYT cars. Look for Kieth's Vibe on page two of customer rides, and Nick's Matrix on the current projects page.