What Old World Europe countries (apart from Germany and Italy) have their own unique pasta traditions?
I can think of several Polish noodle types.


Uszka - shaped like tortellini, filled with mushrooms. Usually served in soup. 
Kopytka - made of flour, potatoes and eggs. The composition is basically the same as gnocchi, but they're formed differently: you roll the dough into a rope the size of your thumb, then cut it into pieces diagonally.
Kluski lane ("poured noodles") - a thin egg and flour dough that's drizzled into boiling water. Usually served in soup. Similar to spaetzle.
Pierogi - a round piece of dough that's folded around a lump of filling, making a semi-circular shape. The filling can be a number of things. The most popular one is a mixture of potatoes and farmer cheese - "pierogi ruskie". They can also be filled with ground meat, cabbage, or fruit.
Łazanki - flat square pieces of pasta, less than an inch wide. Usually mixed with sauerkraut, mushrooms, and optionally sausage or salt pork. The name is probably derived from lasagna.
Knedle - these are eaten in Poland, but I think they're originally from Hungary. It's a ball of potato dough (similar to kopytka, above) with a plum in the center.