The church (Basilique, in fact) of the SacrÃ© Coeur in Montmartre. It’s quite a climb through streets aptly named things like Rue du Calvaire, roughly translated as “time of hardship street” in common parlance.
You can get a cog-wheeled railway which mounts a steep incline instead, called the funiculaire. Recommended if you want a bit of energy to check out the nearby square where artists paint caricatures or portraits and coffee is ridiculously expensive.
Maybe check out the Espace Dali if you’re into a small, hidden away museum with all things Dali.
The Eiffel Tower
Built for the Paris exhibition in 1889 it was originally intended to be taken down. Somehow the phallic tower remained – and is visible rising up into the sky, or hiding behind a skyscraper and suddenly leaping out again – from many places all over Paris and visible from a vantage point less than 5 minutes from where I live, especially on a clear day.
Nothing quite like it (except the copies in Vegas and the like) anywhere else. The Champ de Mars, the park upon which it stands on the north west edge, is a pleasant place to become a flÃ¢neur with a sandwich and a cool drink. Watch out for hawkers though, they’re everywhere.
In a big square in the Beauborg area of Paris, not far from the Halles shopping centre with the Hotel de Ville not far in the other direction (though slightly more south) the Centre Pompidou is a good place to check out if only for the curious inside-out architecture, though the collections inside are good. Look out for special shows, seen a couple of cool ones there.
You can hang out in the many bars and cafÃ©s in the area, and don’t miss a curious bunch of colourful sculptures giving an endless loop of a water performance which can be watched from a terrace of the closest cafÃ©.