A job in film making is like any other position you apply for. If you have no experience, you will probably not get an interview. When you can't get an interview, you won't get the job, and if you can't get the job you will not gain experience. Experience is a must to get a job in film making.
There are times that people get a lucky break and seem to fall into a job in the film making industry, this certainly doesn't happen very often. Realistically, if you want to get into the film making industry, it will be up to you to make it happen.
While internships are hard to find, as there is fierce competition in the industry, they are a good way to get your foot in the door. You can overcome some of this by contacting production companies and proposing your own internship. Film makers are more liable to accept free help during busy times. You will probably make important contacts that can be invaluable in the future.
There are a few different ways to arrange your internship. You may approach a film crew during a shoot and volunteer to help. If you are persistent they will usually allow you to do some work on the set. This may not be your ideal job, but once you are in the mix you will meet people who work in the film making industry. These contacts could lead to big opportunities down the road, and the job you really want.
Or you can check the classifieds in the trade papers for mid-level, or senior openings in the field you are interested in. If they are recruiting for that position, they usually are short-handed and need some help in that department. When you spot an ad like this, call the office manager directly. Once they are on the phone, tell them you are interested in an internship. Add that you know they are busy and you could meet with an assistant instead. Ask them who you could contact about this and tell them you will call them yourself. Make sure you do contact them if you are serious about getting an internship. It is imperative that you act professionally when contacting anyone in this industry.
You can call the human resource department of any production company, at any time and offer to be an intern. Try to pick a department that you have the most interest in becoming part of, or learning about. Whatever your choice, make sure you keep a good attitude, it may take a little time, but sooner-or-later there will be someone who is willing to accept your offer.
The film making industry is a close knit group and the more people you meet, the more likely it will be that you find work in the area of film making you desire. Above all, even though it may seem fruitless, don't give up, you have as good a chance as anyone to break into film making.