Applying like crazy.

I just finished my MBA and have been applying at all EA job openings, in hopes to get my foot in the door of a company in the music/entertainment business. I have managed a few smaller businesses, and know that I would be more than competent as an EA. But all the positions are looking for 3-5years experience, and the applications have you auto fill from your resume - zero chance at the hiring manager to see my personality.

How did those of you who are new to the position get the jobs? How did you win the companies over?