Saw Mark Prior strike out 16 over eight innings back in 2003 against the Brewers. Sammy hit one onto Waveland. Then Borowski blew a 3-2 lead in the ninth. It was the perfect Cubs game.
Also a contender was David Wells pitching seven innings of perfect baseball against the A's in September 1998, just a couple months after pitching his perfect game earlier in the season. It got broken up by a Matt Stairs double, IIRC, but he was dealing.
Not nearly at the same level, but in my first year as a reporter, I covered a high school pitcher who threw a perfect game and a no-hitter in consecutive starts. The only reason the second wasn't a perfect game was because the catcher missed a third strike in the dirt and the batter reached.