You can grow pretty much any herb in a pot. I have basil, chives, garlic chives, sage, thyme, lemon thyme, rosemary, bay, tarragon, dill, parsley, oregano, lemon balm and numerous types of mint all growing in pots on my roof terrace (south west facing sun trap) and in window boxes (shady and east facing). I use self-watering pots to make life easier - otherwise growing anything in pots can need watering twice a day in the height of summer.
I also grow spring bulbs under the herbs that are annual or die back in winter so the pots aren't bare.
I'd really recommend jasmine officianale too. It makes my house smell divine when it's in bloom. I grow that in pots too. I've noticed a bit of a trend here (central London) for growing it as a trailing plant in window boxes as well. Other scented plants that I successfully grow in pots are jasmine trachelospermum (star jasmine), honeysuckle, clematis, passion flower, lavender, roses, nicotiana sylvestris, datura and lilies. Geraniums also grow well in pots and the scent from the leaves is lovely.