Traditional Estonian food is pretty heavy and German-like - pork, potatoes, sauerkraut, the works. Not being able to have a sit down meal makes things a bit more complicated... However, there are some nice restaurants in the old town that take the best of the local food and give it a nice modern twist - Egoist, Ö (yes, that's a name), for example. Or try Russian with heavy French influence at Tshaikovski in hotel Telegraaf or Nevski. And don't forget to pass through Valli bar for a "millimallikas".

Indeed, Siim is right You have to stop at the Valli bar to get a millimallikas since it's sort of a tradition already. If you do manage to stop to get a millimallikas then please write your thoughts about it. I'm collecting the peoples reaction to it and until now they all have been good