Your resume needs to match your personality, and you need to spend a ton of time, thinking about who you are as a person, and how you want to present yourself on paper, and continually tweak it. If you do that, it will stand out, whether it be digital or hard copy paper. I actually think that with digital resumes the opportunities to build fantastic cover letter, intro work is much more effective than on hard copy paper. You can use slide shows, music, etc. A paper is a single sheet of paper, and you don't have much room or space to expose your personality. If you're a no-nonsense person, your cover/intro should reflect it, if you're a loud mouth opinion spewer, your cover should be loud and obnoxious, etc. If you get to interview and your presentation doesn't match your personality and presence in person - it will create doubt.
Getting noticed in the resume stage is much more important than the content of the resume itself, and finding a way to make the reader know that you have a personal connection to the work is huge. That's all I'll say.
If you take the time and effort to build a resume cover/intro that fits your personality to a T, and find a way to make the reader know that you have personal interests outside work, and that it can tie into the work - it will stand out and you'll get to interview stage.
Manufactured, robotic resumes are shredder material.
Last thing - when you get to the interview stage, look the interviewer in the eyes when you speak. Nothing annoyed me more, and sent people home without work, than a well qualified, interesting person that came for interview and looked away or at the floor all the time when talking.
Good luck.