Avalon Diner "Justly famous since 1938" isn't just a marketing phrase for this classic River Oaks joint, which has spawned two offspring. The food here is just like Mom's, and it will fill your tummy. Old-style drugstore hot dogs and hamburgers (the drippy kind) crowd the menu, along with thick club sandwiches, salads that are a meal on their own and Texas treats like Frito pies. Avalon also serves farm-fresh breakfasts -- heaping plates of eggs, toast and potatoes, or homemade biscuits smothered in cream gravy made with chunks of sausage. And don't forget the fountain drinks: The limeades and cherry Cokes complete the flashback to another, simpler time.