Eiffel Tower
lat:48.8583
lng:2.2945
This is the part where I would normally tell you something interesting about the Eiffel Tower, but let's face it, if you are traveling to Paris I'm sure you've read or heard there is all to know. There is no way you can go to Paris and NOT see the one monument that defines the city. I will leave you with one tip though, when traveling during the off season be aware that you can only reach top on weekends.
The Louvre
Palais Royal, Musée du Louvre
Paris
75001
lat:48.86241
lng:2.342995
Whether you are looking at the Louvre's exquisite paintings ("Mona Lisa" and "Coronation of Napoleon"), sculptures ("Venus de Milo" and "Psyche Revived by Cupid's Kiss"), or the simple fact that all this art is housed in a freaking palace, everything in the Louvre is done big.
The Palace of Versailles
lat:48.804404
lng:2.123162
"Let them eat cake!!!" -- Although those words were never really uttered by Marie Antoinette (why let a good soundbite get in the way of facts), the Palace of Versailles is still so opulent that it's not hard to picture her stating those infamous words. While "technically" outside of Paris, Versailles is a breezy train ride away and well worth your time if you like seeing gold plated, well, everything, to go along with manicured lawns as you've never seen.
The Panthéon
lat:48.846111
lng:2.345833
No, it's probably not the Panthéon you were thinking of (Rome), but it's still impressive enough to warrant a quick visit while in Paris. For all you science geeks, the Panthéon is where Foucault originally showed the rotation of by using the dome to construct a...wait for it...Foucault pendulum. And if that wasn't enough, there are a lot of dead people in the crypts below. And not just any dead people, but famous dead people. Unfortunately, the crypts aren't really as exciting as they sound.
Arc de Triomphe
lat:48.8738
lng:2.295
The Arc de Triomphe stands on the western edge of the Champs-Élysées and serves as a stoic, if not grandiose, monument to all those soldiers who fought and died during the French Revolution and Napoleonic wars. While you can pay to take the tight and winding spiral staircase up to the Arc de Triomphe, I'd recommend saving your money for the Eiffel tower if you are on a tight budget because it's not that interesting at the top.
Musée d’Orsay
lat:48.860573
lng:2.322776
The Musée d’Orsay is the red headed stepchild of art museums in Paris. If not for that little museum across the street, the Musée d’Orsay would probably stand tall as the preeminent art collection in the city. Instead, the former train station is "only" known to house one of the foremost collections of impressionist and post-impressionist paintings including Monet, Degas, Renoir, and Van Gogh to name a few. Not too shabby if you ask me.
Favela Chic
18 rue du Faubourg du Temple
Paris
75011
lat:48.868199
lng:2.3663870000000315
Yes, everything you've heard about it is probably true. A bit touristy? Check. Pricey drinks? Check. Possible bouncer with an attitude? Check. Still, should you get inside -- I'd recommend coming early -- you'll be treated to a young and energetic crowd dancing to the early hours of the morning.
Moulin Rouge
82 Boulevard de Clichy
Paris
75018
lat:48.883905709999993
lng:2.33263135
No, not the movie but the one and only burlesque show. Depending on how and when you approach the Moulin Rouge you are almost equally as likely to see the long line of 40+ year old adults that seem oddly out of place along a street that houses many sex shops as you are to see it's world renown windmill. An institution that is as much Paris as the plethora of cafe's that dot the city, it's well worth a trip to see even if you never get to go in.
Boulevard Saint-Michel
lat:48.85316803265956
lng:2.343931552886943
Although the boulevard Saint-Michael is famous in and of itself as a street, I'm recommending a visit solely on the fact that it's a wonderful place to find cafe's, bar's, bookstore's, and everything else that makes Paris the exquisite place it is. With the mix of nearby tourist sites and a university, you'll find the area around Saint-Michael bustling day and night.
Notre Dame Cathedral
lat:48.853
lng:2.3498
No relation to the insufferable "domers" residing in America, the Notre Dame Cathedral is like a lot of cathedral's spread throughout Europe in that it's steeped in history. It's historic gothic architecture is well worth at least a pass by, and if you choose to go inside you'll be able to gaze upon an interior that has housed many significant events including the coronation of Napoleon which was immortalized in Jacques-Louis David's famous painting, "The Coronation of Napoleon I".