Two weeks in Switzerland in January.

We have three days in Geneva, then four days with no plans.
Then we have four days skiing in Les Contamines, and finally one week with no plans so far.
Any suggestions welcome.
(We are thinking of renting a car and are open to going to Italy, France or Switzerland)
Thanks.

In the 4 days, you may visit some places in the Swiss or French neighbourhood, like:

Chillon castle:
http://www.chillon.ch/en/
Gruyeres castle, cheese diary and chocolate factory:
http://www.chateau-gruyeres.ch/e/multimedia/spectacle.html
http://www.la-gruyere.ch/en/navpage-ExcursionsFR-HistSitesFR-120085.html
http://www.lamaisondugruyere.ch/index.php?option=com_content&view=article&id=142&Itemid=56
http://www.lamaisondugruyere.ch/index.php?option=com_content&view=article&id=142&Itemid=56
Zermatt-Gornergrat:
http://www.gornergrat.ch/home/index.php
http://www.klein-matterhorn.ch/photos/
http://www.zermatt.ch/en/index.cfm
Entirely walled city of Murten:
http://www.murtentourismus.ch/en/navpage-DestinationsFR-MurtenFR-99305.html
http://www.murtentourismus.ch/en/navpage_list-DestinationsFR-MurtenFR.html
Roman amphitheatre and Roman Museum of Avenches
http://www.avenches.ch/en/page.cfm/siteetmuseeromain
Roman Villa of Vallon
http://www.pro-vallon.ch/allemand/mosaiques/mosaiques.htm
biggest Romanesque church of Switzerland and Monastery of Payerne
Nature Park of Grande Caricaie
http://www.myswitzerland.com/en/destinations/resorts/holiday-destinations-in-switzerland/estavayer-le-lac.html
http://www.bafu.admin.ch/dokumentation/umwelt/00111/00463/00937/index.html?lang=de
Medieval town and spa of Yverdon
http://www.yverdonlesbainsregion.ch/en/Culture_Patrimoine
Roman mosaics of Orbe
http://www.yverdonlesbainsregion.ch/en/orbe_region
Monastery of Romainmotier
http://www.yverdonlesbainsregion.ch/en/romainmotier_region
Castle and Menhirs of Grandson
http://www.yverdonlesbainsregion.ch/en/grandson_region
Menhirs and Dolmen of Onnens
http://www.onnens.ch/textes-1/dolmen/le-dolmen-de-praz-berthoud,38.html
medieval town of Neuchatel with castle, cathedral and many fine museums
http://www.neuchateltourisme.ch/en/decouvertes.html
Biel/Bienne with it's small but fine city center, good museums and a lot to see in the Lake Bienne area
http://www.biel-seeland.ch/en/discoveries/town-and-heritage/biel-bienne.1239.html
Medieval Bueren an der Aare with wooden brige over the Aar river
http://www.bueren.ch/de/inhalte/tourismus/sehenswuerdigkeiten.php?navanchor=1010025
Medieval town of Solothurn with baroque cathedral and many museums
http://www.solothurn-city.ch/topic2477.html
La Chaux-de-Fonds, capital of watchmaking
http://www.neuchateltourisme.ch/en/decouvertes/museums/clock-making-m-lanbspchaux-de-fonds.1500.html
Musical box museums at L'Auberson, Ste-Croix and Seewen SO
Have a look at http://www.myswitzerland.com/en/home.html
France:
Annecy
Chambery
Cluny monastery
Beaune. Hotel Dieu
Tournus: cathedral
Perouges: small medieval town
Lyon, capital of Rhone-Alpes and Vienne (roman excavations)
Medieval Colmar and the winyards of Alsace
Italy:
Aosta (roman theatre and museum) and the castles of Aosta Valley
http://www.naturaosta.it/castles.htm
Turin: first capital of Italy, palaces, museums, world capital of chocolate
Milan: outstanding cathedral and some fine Lombardian brick churches, good museums (Brera, Scienze e Techniche, etc.)

In 1 whole week, you can go wherever you like. Geneva is a hub of easyjet. that means that a cheap 1 week trip to more remote areas is perfectly possible. http://www.easyjet.com/