At the time of writing (June 2012) Rent Way do not list projectors among their electronics inventory. Unlike televisions, projectors tend to lose their value very quickly after they have been used and any rent to own store is likely to have extremely high rental rates because of this.
Inventory changes so it's always worth taking a look at the web site to see if they have started to carry projection equipment. If they do, please take a minute to update this answer too.
Staples offers several styles and brands of LCD projectors online. They also carry DLP projectors which is a newer technology.
Yes, RadioShack does carry the top brand name HD projectors. They have a great selection of projectors available at reasonable prices.
Depending on your area, there is a local Rentway or Aaron's that have these LCD projectors for rent. They may be a little pricey, so if you have a local rental store or Office rental store they may be able to rent the LCD projector for cheaper.
One can purchase business projectors from Best Buy, Dell. The electronic stores should carry this item. Amazon, eBay, Newegg also carry this product.
There are a lot of mini projectors in the market, the brands are Samsung, 3M, LG, Epson. Small size of mini projectors are easy to carry, it does gives up some brightness as well as contrast.
There's quite a few places in New York with offer rental of projectors. However, one which has a very long history of good customer service is http://www.hwc.tv/projector_rentals_nyc.html
I am sure you can rent out projectors (possibly from a school or even the libraries), but it would probably be cheaper to just go buy one. You can find one at Michael's for about $40.
Pico projectors are great. Like most of the elecrontics today that have to carry a video signal the most common inputs are A/V (RCA), VGA (laptop), and now HDMI.
There are companies that rent projectors online to people in the Boston area. One company that does so is http://www.DVDPhotographs.com
Television projectors are a great way to view movies. Add to that a home entertainment system, then one has an IMAX-like experience right in the home. This website has information about television projectors: http://tvprojectors.org.
Yes, Best Buy does carry Dell HD projectors. You can get one for under $900.
You can rent projectors from stationary stores. Or you can buy them from big box stationary stores such as Staples or Office Depot. They have employees who can help you there.