Where in France can I rent a Citroen 2CV car?

I have driven a 2CV (belonging to a co-worker in the UK), and while they are a lot more fun than driving a "muscle car" unless you are on a race track, you certainly don't want to consider two weeks touring in one. For example the practical top speed is only about 40 mph on the flat, and the 0-40 acceleration time is at least 30 seconds. The brakes are almost (but not quite) as fast acting as the acceleration - except when it is raining, in which case "braking" tends to be a philosophical concept, not a practical one.

They are OK to drive in urban traffic so long as you keep away from fast roads and junctions where you need good acceleration to merge into other busy traffic, but they don't play nice with other road users in normal traffic conditions on non-urban roads.

On the other hand, the amount of body roll you can get while cornering at 15 or 20 mph is a unique experience...

The controls are totally different to any other car you will have driven, as well. For example here's how to change gear - note, the gear lever sticks out horizontally from the dashboard, not vertically from the floor!

Hiring one for a day or half a day would be fun, with or without a chauffeur, but not for longer IMO.

But they do have some unique selling points. I once helped use one to transport an eight foot tall potted plant between two houses about 20 miles apart. After checking for any low bridges en route, this was no problem at all. Just roll back the canvas roof from the 2CV, take out the passenger side front seat, put the plant pot in the foot well, and have someone sitting in the rear seat to keep hold of the plant and stop it falling over. Simples!

4 roues sous 1 parapluie is based in Paris and specializes in guided tours with a chauffeur but they do offer rentals in Paris and Bordeaux. From there, you could drive to the countryside (Bordeaux is probably more interesting for that). It is indeed quite pricey and actually more expensive than the German prices mentioned in another answer.

The 2CV, or "Ente" (duck) was pretty famous in Germany. However, to find such a rental it helps to know the right search terms.
We're calling older cars "Oldtimers" and a search for Oldtimer Vermietung 2CV brings up several hits.

It seems you should calculate around 150-250 EUR for a day of cruising.

A quick search on Le bon coin (popular classified advertising website in France) for "location 2 CV" (french for "2 CV hire") gives a few results.

You may find better prices there, especially if you deal directly with individuals rather than car rental companies. I found a few offers for 80-140€ (for a day, I suppose).

Looks like people typically rent these for weddings.

A nice option if you’re interesting in getting a feel for driving a 2CV is to participate in a “rallye 2CV”: these are organised tours of parts of the French countryside, usually in picturesque areas, in groups of 2CVs. The advantages are that the itineraries are “2CV-compatible”, you’d be travelling in a group (which could be a disadvantage, depending on your point of view), and you’d benefit from the explanations of a 2CV expert, all of which help alleviate the difficulties mentioned in the other answers. The “2CV-compatible” aspect might make this sound boring, but in my experience part of the point of these tours is to discover a wide range of 2CV handling characteristics.

Admittedly this works best in a large group; these tours are used for example as team-building exercises in companies, so everyone involved knows each other to some extent. Obviously this isn’t your case; the second best option then is to take part with one or two friends, and switch drivers during the day or two the tour will take.

A web search for “rallye 2CV” in France will turn up a large number of options; pick a region which interests you to limit things. Then pick up the phone and see what the organisers say — if you find a tour organised by 2CV enthusiasts they’ll probably try to work something out with you which meets your requirements!

Peer-to-peer carsharing website Drivy has some ads offering 2CVs for rent. It's what I use when I need a car for a few days.

In case the above link breaks, here is a starting point. Then select dates and location, and "Classic" as the car type.

Hope you'll enjoy your stay in France! :)

In Madagascar, we extensively still use them today 2019 as taxi (including 4L Renault, and Pegeuot 205)