In reply to danai:
The Écrins National park is a personnal favorite. Good base camps include L'Argentière Les Écrins (there are two guest houses there, "Le Moulin à Papillon" and "La Pierre d'Oran", that are climbers'favorite), Briançon and La Bérarde. Depending on your fitness, you could do many routes in a day, car-park to car-park. If you're a bit slower, you could spend a night in a refuge quite easily. It's also a great winter location for ice and mixed climbing.
You could check the following routes, see if you're interested :
- Arrête sud du pic du glacier Blanc
- Traversée du Pelvoux
- Roche Faurio
- Traversée de la barre des Écrins
- Pic Coolidge
- Arrête des cinéastes
There are other great massifs, such as Oisan, Vanoise and Vercors, but they are quite wild and might not fit your request. Definitely worth considering though.