For indpendent art spaces and young galleries you have to go to the area around the Boekhorststraat. For more details go here.

Somewhat outside of the city but worth the lil trip 

Great exhibitions.

The building seems to be an ode to 'Fondation Beyeler' and the garden is by the great Piet Oudolf. You can walk around the estate even if you don't want to enter the museum. 

Good Italian food. Only open until 7 pm, so diner only for take away.