The following are my favorite sightseeing attractions in Paris:

Da Vinci Code - Dan Brown's thrilling bestseller The Da Vinci Code.

Paris Plage - Visit a beach in the heart of Paris!

Pére Lachaise Cemetery - Makes a nice walk, in the back are very beautiful memorials, some for the Jews killed during WWII others for the French resistance, and has lots of famous people buried there, La Fontaine, Oscar Wilde and Jim Morrison.

Musée d'Orsay - Was once a train station, is smaller than the Louvre, that makes it less overwhelming and you can just about see everything in a day. The Musee d'Orsay and Louvre and are free on the first Sunday of each month(www.musee-orsay.fr).

Sacré Cœur - The view of Paris from here is as good as it gets, also so makes a nice walk as there are some squares that have street painters.

Jardin du Luxembourg and Jardin des Tuileries - Are nice places to have lunch in. Both have an amazing amount of a public chairs that are just asking to be sit in.

Day trips out of Paris

Chartres - A touristy yet small town with a very beautiful church, http://www.ville-chartres.fr/anglais/index.html(www.ville-chartres.fr/anglais/index.html).
Hotels in Chartres:
Chateau d'Esclimont
le Grand Monarque

Versailles - Is astonishing and should not be missed. It gives you a first-class example of French architecture and garden layout, and you understand why there was a revolution(www.chateauversailles.fr/).
Both can be easily be gotten to by train from Paris, see the French rail company web site, www.sncf.com.

Related Links:
Chicline.com Paris - The hippest Paris City Guide & Directory, France. Online Sightseeing w. Photos, Webcams & Videos. Boutique of Paris-related Books, DVDs, CDs. Best of Paris hotels, restaurants and entertainment.
Les Chineuses - Fleamarket, bric à brac and brocante tours in Paris.
Paris Pause-Pipi - Paris has free public toilets, the sanisettes, but as you may have noticed, you never know where to find them!
Paris-Walking-Tours - A wealth of current, practical information on Paris; self guided walking tours, orientation, discount hotels ...
Paris Tours - Guided tours of the city of lights.