Katie's Greek restaurant has been an institution in Omaha for many years. This family-owned restaraunt is first-rate for making you feel welcome. The food is excellent too! This is where I had my first gyro and came to love Greek food, so it holds a warm place in my heart.
One of the family's relatives (aunt or grandma) is the pastry chef and boy does she know how to make baklava. There are other delicious selections as well.
Katie's is located at 40th just south of Dodge. It does a brisk lunch and take-out business but you shouldn't have to wait for a seat.