Lake Annecy is opposite the skatepark and you can go round it on foot, rent a bike or go by boat. La Tournette is the perfect place to see Lac d'Annecy and the great Mt. Blanc. There is also the option to go paragliding or hang gliding around the lake, but it's a little far from the city, about three quarters of an hour in car.
In the city centre you can go to see Le Palais de l'Ile, which some consider to be the small French Venice. It's beautiful as it is kept in good condition and it always has fresh flowers. La Basilique de la Visitation is a very quiet place surrounded by lovely gardens which are fantastically lit at night. You can also visit the Chateau d'Annecy and the St. Maurice and St. Francios churches.