We started our visit with the "Plaza Mayor" in the very center of the city from there it is just a short walk to "Puerta del Sol" where every one in Madrid comes to see and be seen, more so after 9 or 10 pm when dinner is started to be served in all the restaurants in the area. It is surprising even during the month of November with all the tourists gone how the area is filled by locals.
Museums: "El Prado","Reina Sofia". Also the Royal Palace, Retiro Park, "La Gran Via" etc.
Quick Tips:
Transfer from the Airport: Public bus, outside customs exit, .50 to Plaza Colon take taxi for a short ride. Pay the bus driver. Change dollars to pesetas inside the terminal.
Hotel Nuevo Gaos, centrally located,Mesonero Romanos 14,3*,Phone 532-7106 double/night
Clerk helps with visits to Toledo, Segovia, Avila, etc. and all the surrounding towns.
Siesta time every thing is closed except restaurants from 1 pm. to 4 pm.
Restaurants, Casa Paco, Puerto Rico, Cocina de la Abuela, Zalatain (this last very expensive and requieres reservation))
Best Way To Get Around:
Taxis are very reasonable, driving and car rental are out of the question.
A good city map is very helpful for walking tours.
Plane fares are very cheap during winter time when the weather is dry, temperature in the 40's and 50's