Wine regions from Paris

The wine regions aren't terribly close to Paris. When we were in Beaune we noted people made daytrips from Paris. That has to be a train ride of more than two hours. Try Dijon in Burgundy, it's closer to Paris. You could also look at taking a high speed train to Tours and renting a car at the train station. Visit some wineries in Saumur or Vouvray. Amboise is relatively close and a nice visit. They have a street thru town lined with restaurants which would be a good place to sit with a glass of wine and watch the activity.

What about the Alsace wine route? and then we could stay over night or go to strasbourg as well??

Reims is in the champagne region and is an easy train ride from Paris. There are several champagne caves in Reims. To see the vineyards you would need a car.

The great wine regions of France are within 2 hours of Paris by rail.

I'd probably chose Burgundy, overnight, with a rental car, but Bordeaux and Alsace are similarly within reach. Champagne is super close and can work as a day trip.

On that basis I would consider your available time and also your interest in particular wines. And remember there are very good wine bars in Paris.

You can take the train to Auxerre to visit Chablis, or Troyes for visiting the southern part of the Champagne region. Both cities are really lovely, for visiting the vinyards you will need a car.

Btw. Paris has also it’s own very small vinyard, Clos Montmartre, not so far from the Sacré-Coeur.

With only 5 days in Paris, I wouldn't day trip. If you must, Burgundy and Beaune would be a great choice. We are heading back for several nights on our next trip.
A great wine/food experience in Paris is O'Chateau, they have a wine class with food pairings that we really enjoyed. An excellent introduction to French wine and wine culture.

Reims (Champagne region) is the most accessible from Paris. To me it's the only logical day trip. You can train to Reims conveniently. Several Champagne houses are within walking distance of the downtown train station. I'd suggest Mumm's, they make the best wine. They prefer a reservation but you can have the TI call for one before walking over.

Wine tasting isn't the same in Europe as in the U.S. Wineries don't have tasting rooms with regular business hours for drop ins. Some places will have roadside tasting set up ad hoc on summer days, most want a reservation before you visit.

Alternatives are Bordeaux and Burgundy. The city of Bordeaux is roughly two hours by train but that doesn't really put you in wine country. With a car you can visit wine towns. I loved St. Emilion. It's wine country and the medieval town has surprisingly interesting sights too.

Burgundy is a little further but has the best wine in the world. Beaune has a couple large wine tasting operations in town. I imagine Dijon may have similar. Either would be a pretty long train ride from Paris.

I think of Alsace being further than Burgundy but maybe not by train? Alsace is a white wine region. If you go there, the Gewurztraminer is their best wine.

I don't think any of the wine producing areas in the South of France are within easy reach.