Café? Or diner? Most of you are describing diners or restaurants.
Along those lines, we are still looking. The last half dozen times we have gone out for breakfast we've been disappointed in one way or another. Usually it's bad coffee and stale tasting breakfast meats.
For an actual café, there is a relatively new boulangerie et café near us, Sarmentine ( named for the Sarmentine baguette), that has wonderful breads, some pastries, some sandwiches, as well as coffee, tea, hot chocolate.