For individuals, I believe HSBC will soon open branches here. ABN Amro is here though I've never seen them in the US. For commercial purposes ie for businesses and investment, Citigroup is here. That's about it.
There are a total of 292 Chevychase banks as of 2008, and over 4000 employees. They serve the Washington area as well as Baltimore and Bathesda Maryland, where their headquarters is located.
Bank of America has more than 6000 branches and 17000 ATMs across the United States of America. It is one of the largest banks that are currently operating in USA along with JP Morgan Chase, Citibank...