Geniusfind Science

http://www.livesky.com/ - From Livesky.com you can access over 10 specialized astronomy search engines, as well as check out their links to other astronomy resources It's a good place to start.
http://www.stsci.edu/cgi-bin/search-master - You can search the AstroWeb database from this page. It will bring you results from scholarly works on astronomy as well as some regular websites, but if you want to use it correctly you have to use Boolean language. For instance, if you wanted to find pulsars and earth, you would have to input [pulsars AND earth].
http://adsabs.harvard.edu/abstract_service.html - This one's for everyone who's doing astronomy research. The NASA Astrophysics Data System: Astronomy Query Form allows you to search for abstracts of astronomical articles. You can customize your search in this database 'til you're blue in the face, people. A great resource.
http://www.explorespace.com/cgi-bin/links/index.cgi - ExploreSpace.com is a space portal, with categorized links to over 30 astronomy-based categories, with an in-site search engine to find exactly what you're looking for.
http://simbad.u-strasbg.fr/sim-fid.pl - The SIMBAD Query Form provides you with an amazing amount of information, but it's very technical. The database will return results with basic information, identifiers, measurements, and links to references to the subject. Also, check out the Aladin image viewer. It's amazing what you can do with it.

http://adswww.harvard.edu/ - The NASA Astrophysics Data System has links to searchable databases in the following astronomical areas: abstracts, articles, libraries, catalogs, and archives.
http://cdsweb.u-strasbg.fr/~heck/spages.htm - StarPages is a growing collection of directories, dictionaries, databases and related products on astronomy, space sciences, as well as related fields, organizations and people.
http://www.heavens-above.com/ - Did you know that you can see satellites with your naked eye as they pass overhead? Heavens-Above is a truly remarkable site powered by satellite tracking software that can predict exactly when and where passing satellites can be seen from your location. We guarantee you'll be amazed by this site, and you can easily spend an hour looking around.
http://www.absoluteastronomy.com/ - Absolute Astronomy is a good site for basic information on planets, stars, satellites, and constellations. They also have a section devoted to questions and answers about all the celestial objects mentioned above.
http://www.cvc.org/astronomy/index.htm - There is a wealth of astronomy info on this single page. The CVC Astronomy Page has links to hundreds of informative pages in many categories. Just ignore the spinning picture; it makes one dizzy.