Talking walks together. Do it under the guise of getting some exercise. Gives you a chance to talk, and your surroundings should provide things to talk about. Plus, you're actually getting exercise, and if you get hungry, you can move right in to having lunch/dinner together.

Also, any activity that gets the heart pumping, blood flowing, capilaries opening, and mouth a panting will make the body think it's doing something sexual. So subconsciously, it will be all qued up for it and might cause her (and you) to release chemicals into your own blood streams making you like each other better. But don't make it a marathon. At least not at first.