This "département" (county) allows you to travel anywhere on long distance bus for just 1€. So you can travel from Perpignan to the ski slopes or to visit the excellent Modern Art Museum in Ceret.
They are also running tests for local trains for 1€ as well.
Try the fortified medieval town of Provins 1h25 by train (from Gare de l'Est) to the south-east of Paris. Away from the usual foreign tourist route. You tend only to find French visitors. Great with kids as there's a donjon, ramparts, underground passages. In summer there are lots of events such as jousting knights, etc. Plenty of restaurants from the good and cheap crepe (Le Fleur du Sel in the old town) to the fancier place with lovely outdoor dining areas.
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