Assuming you've started making video games, which is really the most important part of breaking into the game industry, there are some things that you should do to make sure that you stand out because a lot of people want to be in the game industry, it's a real industry, it pays pretty well and a lot of people want to do it. So, how do you break in?
One of the major things you need to do is get good at networking and to look at your local community because the reality is games were made all over the place. If you live anywhere, even slightly urban there's probably a gaming company near you. There's probably a local International Game Developers Association group and you should try to go to some of their meetings, get to know the game developers, get on Linkdin search for game developers in your local area and when you add them on Linkdin or any other social networking site, don't just use the default "Please add me to your network," put a message in that says "Hey I've been making games on my own and I really want to figure out what it takes, maybe we can have lunch or I'd like to ask you a few questions." You'll find that a lot of game developers are going to be really helpful when you ask them and you're humble about it.