Here's some info for those where points are not as important as cost:

From Frommers Newsletter
We constantly receive letters from would-be visitors to New York City, imploring us to name hotels where they can rent a room for under $100 a night. There are such places, but their vacancies are few, and a better course is to seek out one of the many companies that provide you with fully furnished studio apartments in New York City. One such firm is called A Hospitality Company--that's three words, "A Hospitality Company"--and it actually owns some 250 apartments in the City, which means that no one lives in them when tourists aren't around. The price starts at just $99 a night, and you get nicer arrangements than you'd receive in a hotel. Call A Hospitality Company at 800/987-1235 or, from New York, call 212/965-1102.