To get started on this list:
1) Goodness - sometimes the rational choice is not the right choice.
2) Rapidity of execution - it can take hours or even a lifetime to come to a rational decision on some complicated, vaguely defined subjects (such as ethics). The irrational decision engine in your brain can make that decision in a split-second and be right most of the time.
3) Better resilience to incorrect or incomplete data - sometimes, you have incorrect or incomplete data, and no way to correct or complete it. Based on your rational analysis, you may decide to, for instance, refuse to meet someone. And yet, once you actually meet them, you may gather new information that changes your previous rational choice.
There's no doubt many more...