But seriously, get all the classes you can. Get your BTLS/ITLS/PHTLS. Even if the course is a paramedic level class, see if you can take it anyway. I'd rather have a trained EMT with ACLS helping me work a code over one that has no clue of what to do besides pump on the chest.
Take some vehicle rescue course, even if it's only at the basic level. A better knowledge of how a car comes apart, gives you a better understanding of how you can treat your patient and advise rescue workers how you want things done. Remember, at an accident scene, with patients, you are in charge.
Take an instructor course for CPR, it might be helpful, but not totally necessary prior to getting the job.
Anything that relates to your area, such as farm rescue, high rise rescue, water rescue. Take a course on identifying meth labs, WMD, and such like that.
The more education you have, and comprehend, not just hold a piece of paper and forget everything you "learned" there will benefit you. Showing the employer you went through the process of doing all these "not required" classes, will show them you are dedicated and determined.
Hope this helps