One of the best pieces of advice I ever heard was provided by Demetra Liggins, a partner at Thomson & Knight. She spoke to our law students about job success, and she explained that everyone is in charge of his or her own career. The best way to get ahead, she said, was not just to do a good job on your assignments but to think hard about how your assignments fit into the bigger picture--and offer to take on work that would move the entire project forward.
You will impress your boss(es) if you think about how what you're doing is going to be used by those higher up on the pecking order. If you make your work highly useful--and then see what else needs to be done--you will open up whole worlds of opportunities.