Hi G.,
This is about the age where I started taking my daughter out on a "lunch date" at a real restaurant. You might want to do a little shopping or see a movie before or afterwards.
As my daughter has gotten older it has evolved into lunch, mani-pedi's, and/or shopping. We do have traditions, such as seeing the Nutcracker or a musical every year, and going to lunch, but sometimes this includes dad.
I'm sure there are lots more creative ideas out there, but for me I am just interested in getting some time together! My daughter will be 13 in a couple months and I am just glad to get some face time with her! Have fun with your daughter on your special day...