Basically, for AOS you don't need many documents from India, just medical reports I think. However, this is a topic from "Moving here and your New Life in America" that has the info on what to bring from your home country that you might need in daily life in USA:
http://www.visajourney.com/forums/index.php?showtopic=64931It has some useful information (not only for AOS, but for living here too)! Basically, it is best just in case, to bring all your visa-related papers, medical & dental records, school/college certificates, tax history, bank statements (close any bank accounts you will not use again), and get ready your resume, making sure all info is updated and correct (names, addresses & contact info of old bosses etc).
Today I will (hopefully!!) go through the topic (above) too, maybe we can come up with a more India-specific guide to post here!
Also, please, others who have moved here from India, give your country-specific info on what came in handy that you brought, and what you didn't bring that you wished you had!!