Just create a quality website and try again in 6 months. What country are you from? It's very hard for some countries to get accepted. Adbrite is another option and Infolinks.
US citizens shouldn't have a hard time applying for an Adsense account. Do you have a quality website?
You should read and understand the terms and conditions of Adsense clearly before applying. Your site should have unique, error free and good quality articles. If your site be 6 month old then it is very helping to get approved.
You firstly need to understand why Google refused you an Adsense account. Likely it will be lack of good and/or relevant content, or your site has not been established long enough, or you have copyrighted material on your pages, or poor navigation or unfinished pages. If Google refused you then going to another program will not do you any good. You need to go back to the drawing board!
Denied by Adsense, who should I choose instead.. hmmm.... lot's of information there... not! Why did you get banned? Have you learned your lesson before anyone advises you of an alternative?