Here are some links to French Newspapers and Weeklies available online.

Newspapers

Le Monde
Le Monde (English: The World ) is a French daily evening newspaper with a circulation in 2004 of 371,803. It is considered the French newspaper of record, and is generally well respected, often the only French newspaper easily obtainable in non-Francophone countries. Le Monde was in the past often described as centre-left, but its editorial line may be more appropriately described nowadays as simply moderate. Some critics contend that its current line is, broadly speaking, biased against Jacques Chirac.

Libération
Libération (affectionately known as Libé ) is a French newspaper founded in Paris in 1973 by Jean-Paul Sartre, Pierre Victor alias Benny Lévy and Serge July in the wake of the protest movements of May 1968. Libération was the first French daily newspaper to have a website. Broadly speaking, Libération's editorial point of view is on the left-wing of the French political spectrum.

Le Figaro
Le Figaro (English: The Barber ) is one of the leading French morning daily newspapers. Its editorial line is conservative and has generally been supportive of the Rally for the Republic political party and its successor, the Union for a Popular Movement. Its circulation was 342,445 in 2005 (365,682 in 2002).

La Croix
La Croix is a French, Roman Catholic, daily newspaper. It is published in Paris and distributed throughout the country, with a circulation of just under 100,000. It is neither explicitly liberal or conservative on major political issues, but follows the Church's position. However, La Croix ought not be confused with a religious newspaper—its topics are of general interest: world news, the economy, religion and spirituality, parenting, culture and science. The paper was founded in 1880 and is owned by Bayard Presse.

* All newspaper descriptions are from http://en.wikipedia.org/wiki

Weekly Magazines

L'Express
Le Nouvel Observateur

Radio

If you click on the link below, it will bring you to a site where you can select a country (France!). It will then display most known radio stations in France, including ones that have streaming audio online, so that you can listen to French radio online.
http://www.radio-locator.com/