The link above is for an internship in the Communications department with the Rays. As they state, the responsibilities would include, "...assist[ing] with publications, media credentials, gameday duties, and research projects as needed." You should understand baseball stats, know how to use Excel, and be a good communicator. Someone here's got to be interested, no? There's also currently listed an internship in the Sales and Service department, and a part-time position as a Fan Host. If you're looking to get into the business side of baseball, either internship would probably be a way to get the foot in the door.