Kasbah of the Oudaias
Hassan Tower and the Royal Mausoleum
Old Medina
Chellah - old city founded by Carthaginians, conquered by Romans and later passed under Arab rule, just to be abandoned and settled again by unbelievable numbers of birds. This breeding ground bubbles with bird life in spring, including stork nest on the top of old minaret. Also, historical layers are visible, with outstanding Roman and Moroccan parts. You can walk there from centre-ville, but it's a long walk. Admission is 10 MAD and it's open until 5:30 PM.
National Archaeological Museum
Bank Al Maghrib Museum
The Beach
Royal Palace : It's pretty huge, you can't really visit it but it's a nice walk !, the armed guards might allow you walk from one entrance to another especially if you look like a tourist.