It is difficult to stand out in resume form.
I think the simplest way to think about it is that your resume isn't simply a checkmark task. It is a marketing product. As such, it should do the best job possible of accomplishing it's job - getting you an in person interview. Spell check it, check your margins, make sure the order makes sense, look for competing ones you like, and copy the elements you like, so on.
That said, DO NOT RELY on your written resume to get contacted. Network like crazy through every option you have available. Any application you fill out online, follow up on them. Do not make the mistake of thinking "the system" will work for you. Assume you will have to go out and beat the bushes yourself to get that job. At least then you won't be disappointed.
For those who stand out in person, that's easy. Don't show up looking/acting like a 9-5'er putting on his blowhard hat just long enough to pass the interview stage and get the job. Come seeking to pull more than your weight. Come expecting to do important work that changes the planet. Ask where the hard problems are, so *you* can contribute on them. Show up looking like a winner, talking like a winner, and most importantly, working like a winner. To do that, you need to practice being a winner in all aspects of your life.
Simply put, a winner is someone who focuses on objectives, and conquers them consistently.
Also, for heaven's sake, don't try to multitask during the interview, either. Turn off your stinking phone. It won't kill you to stop looking at it for a few hours.
As a side note:
One question interviewers sometimes ask towards the end of the meeting, which is not really out of line, is to tell them about myself, and my experience. Having worked 15 years, 60-80 hours a week most weeks doing active work, study, side work, or personal projects, it's quite an onion to peel in the last 5 minutes of an interview.
To be honest, I'm not really sure what's best in this particular scenario.
When I do technical interviews, I ask more and more detailed questions until I get vague answers. I use that as my guide to know when the person interviewed has met their depth.
If you are interviewing someone else, don't make the mistake of letting the interviewee talk endlessly about their past conquests. Ask specific directed questions about things you think they should know. If you can afford the time, put them to work, and shoulder surf their quality of work.
There are lots of people out there who could do an average job. I don't care to work with them. Why should you? Be among the best, and demand those around you to be likewise.
That's my two cents on the subject.