Here are the prices I found for one night, one person at http://www.hotelscombined.comfor 2008-07-11 on 2008-06-22. Most of the lowest price is for a hostel with a shared room and a shared bathroom – and I do not know about the quality or safety of these places. I just found them on the internet. No guarantees. All prices are in United States Dollars.
New York, NY $29 Broadway Hotel and Hostel
London, England $25 Meininger City Hostel & Hotel London
Orlando, Florida $30 East Palm Resort Hotel Orlando
Venice, Italy $62 Villa Alighieri Hotel Venice
Bejing, China $8 9dragons House Hotel Beijing
San Antonio, Texas $44 Alamo Lodge Motel San Antonio
Lawrence, Kansas $39 Hallmark Inn Lawrence
Paris, France $45 Mister Bed Nemours Hotel Paris
Mexico City, Mexico $24 Fontan Hotel Mexico City
Another good web site: http://priceline.com and bid about half the price of the going rate. Sometimes, I have gotten great deals that way.
The free way to go is with couch surfing: http://www.couchsurfing.com/ for the true travel adventurer only.
The cheapest way to get around the east coast right now is with http://www.megabus.com, which I have tried and liked. I am trying it again to go from Philadelphia to Boston with my family in July.
Or stay with a friend!