If you really want to visit Switzerland, you can get a train from Paris to Geneva in a couple of hours: if you book the journey on-line and well in advance the one-way fare is less than 30 Euro. Geneva is a beautiful and interesting city, but from there you might consider crossing the lake and visiting the castle at Chillon and the lakeside resorts such as Lausanne. From there, you could continue into and across the mountains: perhaps take the 'Golden Pass' train, which goes through spectacular mountain scenery and is well equipped with observation cars and so forth.
Thank you for those suggestions for Switzerland! Will start looking into trains to Geneva.
Keep the suggestions coming!

If you're into medieval castles- the Chateau du Chillon on Lake Geneva is at Montreaux. The trains pass right by it, so to see it, you need to get off the the train at Montreaux.

If you're into medieval castles- the Chateau du Chillon on Lake Geneva is at Montreaux. The trains pass right by it, so to see it, you need to get off the the train at Montreaux.
I think that it has its own small station, although Montreux itself is worth a visit.
Even if you're not "into castles", the beauty of this place is breath-taking, as is the oppressive sensation of the prison cells inside. Byron's poem "The Prisoner of Chillon" gives some idea of the atmosphere of this place.
I think that it has its own small station, although Montreux itself is worth a visit.
Yes - I think we got off at the small station at the castle, and walked down a short hill.

Right you are... I missed going inside Chateau de Chillon as the train from the airport in Geneva breezed right on past it.
It is an incredible sight-- an ancient castle
In the sunshine on the the shoreline of Lake Geneva, with the Alps beyond.

It is an incredible sight-- an ancient castle
In the sunshine on the the shoreline of Lake Geneva, with the Alps beyond.
A Swiss person would laugh at you (silently) if you referred to Lake Geneva. The city of Geneva is at one end of Lac Leman, and this is one of the 'markers' they use to distinguish clueless foreigners from those who have done their homework.
Sorry, but I couldn't resist mentioning this.