I agree with what's been written, BUT:
I know a few people which are currently spending their time at Stanford, Columbia, Wharton, etc. whose experiences were not particularly impressive from the Organization / position point of view. But they managed to "package" themselves in the right way. Some concepts to consider:
1) Even if your position is Jr Assistant of Jr. part time Intern, you can show your great potential by getting your company or recommenders to write about the great plans they have in mind for you. They can say they would be willing to finance your MBA (even when in the end they may not) and that would be an indication of trust. Same applies if you are VP Operations at Crazy Larry's Car wash. Make recommenders write how you'd be the first person in the firm to go for an MBA.
2) Extra-curriculars are important, too. Don't focus on being a member of 212 different charities. Focus on creating one or influencing one particular one. Or mentor a disadvantaged individual, etc.
3) Differentiate yourself. OK, so you've got the same generic experience as other 500 applicants. Here's where some help (i.e.: someone helping you to cherry pick from within your background) may come in handy. You may think that making state on your high school wrestling team is irrelevant, yet it can make a difference!
4) (I know this does not particularly apply to you guys as I've read you've been paying lots of attention to your essays): don't put too much trust on your GMAT scores. It's been said once and again how guys with 750+ get dinged all over the place. GMAT is the part of the application process where you know which schools you can realistically apply to. And nothing more. Specially at Elite+ schools, where they can choose from hordes of 700+ applicants, the rest of the application is what matters most.
5) Timing. Don't apply with 12 months work experience unless you're a superhero. Hold to your 750+ GMAT for a couple of years and grow steadily. Your chances will improve dramatically.
And in the end, the admissions process is holistic. In some schools it's more erratic than others (I don't know about Cornell) so don't be discouraged for dinging in one. That's not a pattern. Dinging in all 4, 6 or 8 you applied to is a pattern.
Hope it helps. L.
NB: my posts are biased opinions based on what I've heard, read or made up, nothing more.