Mark Simon, a stats guru at ESPN Stats & Information, passes along this list of those in the past 25 seasons that have had perfect games broken up with two outs in the ninth inning.
Yu Darvish was the fifth. Here are the other four:
Brian Holman, 1990 Mariners vs. A's (4/20/1990, Ken Phelps [homer])
Dave Stieb, 1989 Toronto vs. Yankees (8/4/1989, Roberto Kelly [double])