It sounds like I'm taking the easy way out by answering it this way, but there really is no "typical" applicant profile! In fact, I could argue that many of the "typical"-looking applicants didn't get in, because of just that reason -- they looked too typical. They weren't interesting enough. They blended in *too much* and thus didn't stand out in the adcomms' eyes.
But, here is one thing that most of my classmates did have in common: They were almost all impressive/interesting/memorable in some way. That doesn't necessarily mean that scaled Mount Everest or started a $100 million company... Some were just very smart, some were great speakers, some had very interesting career backgrounds, some had spent 10 years in the military and had fought in wars, some were great at getting along with everyone, some were natural born leaderes, etc.
We had lots of bankers and consultants, sure. And a lot of them were impressive, too. But even those people often had something a little different about them... A unique hobby, an interesting life accomplsihment, etc.
Scott