Anniversary Dinner in Paris Latin Quarter?

Unless you want to stay close to the hotel for some reason, don't have your anniversary dinner in the Latin Quarter -- go across the river to the Marais and pick one of the tasteful spots near the Place des Vosges, and enjoy the plaza while there instead of the noisy and antic Latin Quarter. Check that there's Monday night seating ahead, though.

Consider this restaurant which is in the area where you are staying - Le Bistrot D'Henri at 16 Rue Princesse. It has been a number of years since we visited Paris, but the dinner at this restaurant was memorable for us and the recent Tripadvisor reviews still look good. We have steered several friends to this restaurant over the years and none have been disappointed. One friend, a travel agent, dined there twice on same trip.

I would also suggest that you ask your HOF tour guide for suggestions of his/her favorites in the area.

If you are looking to buy a bottle of nice wine in the same area, visit this wine shop - La Derniere Goutte at 6 Rue de Bourbon le Château.

You can have some excellent meals in the Latin Quarter. There are a lot of junky restaurants there but there are many lovely places. Here are some great ones that I have been to in the Latin Quarter or nearby.

La Table de Colette Here is the Michelin review. (Eco-friendly restaurant with light lovely choices)
La Truffiere Here is the Michelin review. (Very romantic; it's especially good for those like my husband who like truffles)
Restaurant L'Initial. Here is the Michelin review. (Tried at the suggestion of a poster here and loved it)
Tour d'Argent (If the budget is not an issue and you want beautiful traditional decor and very good food)

Bouillon Racine is close, in the 6th. It's a beautiful historic art nouveau restaurant with very good food and (usually) friendly service.
If you make a reservation (and you should!), be sure that you receive a confirmation. Friends and I were not warmly received when they couldn't find our reservation in April and we were finally reluctantly seated. After that, our service was fine. It was my third time there and I was surprised, but I'll still keep going there.
Moulin de la Galette in Montmartre is also very nice, and the location of Renoir's painting of that name.
I also ate at l'initial in April to celebrate a friend's birthday. It's French/Japanese fusion, a tasting menu with a fixed price and maybe 7 small courses. It was a very different experience for me but I enjoyed it very much.
And happy anniversary, wherever you choose!

Le Coup Chou (11, rue Lanneau in the 5th. Ar.) is a small, historic, romantic restaurant with delicious food, good ambiance. It was a favorite of journalist Richard Holbrook and his wife Katy Marton, author of "We'll Always Have Paris." Prices are reasonable.

Another restaurant I can highly recommend is Le Procope in the 6th. Ar. (13, rue de L'Ancienne Comedie), full of history (1686), in lots of rooms, good service, excellent food, reasonable prices.

Also post on the main section of the travel forum under France to ask your question. This area where you posted is for a review of a place you have visited. You may have get more responses.

Many thanks for all who responded!

This will be my first time in Paris, so I didn't want to "wing it" for such a meaningful event.

I was remiss in not mentioning that my wife is a vegetarian and I am a carnivore. But now, thanks to numerous suggestions you have all provided, we have a wide array of restaurants to chose from.

You might want to look at Hebe. It's got great vegetarian and non-vegetarian choices and is my go-to place for a meal with vegan, vegetarian and meat eating family members.