Here are some links to some of the major performing arts houses in Paris:

Paris Opera and Paris Ballet (Palais Garnier and Opera Bastille)
http://www.opera-de-paris.fr

Theatre du Chatelet (opera, dance and classical music)
http://www.chatelet-theatre.com

Opera and classical music
http://www.theatrechampselysees.fr

Opera Comique
http://www.opera-comique.com

Comedie Française (theatre)
http://www.comedie-francaise.fr

Théâtre National de Chaillot (concert hall)
http://www.theatre-chaillot.fr/

This list, of course, is not exhaustive.