In which case, let's consider indoor entertainments near each other.
Starting in the 4th arrondissement, there is an exhibition at th Hotel de Ville, Paris Haute Couture, celebrating Paris fashion and including key examples from the collection of the Musee Galliera. This free exhibition is open from 10 am to 7 pm Monday through Saturday.
A short walk from there along Rue du Rivoli is the Louvre, which right now has some really interesting special exhibitions.
For example, through June the museum is celebrating the opening of its new exhibition rooms for Islamic Arts. In connection with this, through June 8, is an exhibition on Walid Raad, a Lebanese installation artist. Here is a video of the exhibition.
And of course, a rainy, chilly day might be the perfect day to fully explore the Louvre, on a week outside the tourist season. On a day like this, one could wander through the museum and really enjoy the paintings, sculptures and rooms full of decorative arts, precious items and history.
Another short walk down Rue du Rivoli is the Musee des Arts decoratifs, which has an exhibition on Fashioning Fashion: Two Centuries of Fashion 1700-1915. This show runs until April 14 and includes changing styles from France, Italy and England.
What else can you do in this area of the tightly-knit 1st, 2nd, 3rd and 4th arrondissements?
- You can wander the Tuileries Gardens.
- You can have hot chocolate at Angelina.
- You can eat and shop at the Louvre Carrousel.
- You can visit the bookstores at the Louvre, the Musee des Arts decoratifs and the Comedie Francaise.
- You can stroll the Palais Royal gardens.
- You can stroll up to the Opera Garnier and tour that gorgeous building, as well as their current exhibition.