Cable car to Casa de Campo
A way for a different look of Madrid is the cable car that links Paseo del Pintor Rosales to Casa de Campo, passing over Rosaleda, and Manzanares river.
It offers a different perspective of the city and a few monuments, but, once arrived in Casa de Campo, unless you want to breath for a while in the woods, or visit the amusement park, the solution is... to return.
Valle de Los Caidos
About one hour driving north of Madrid a high cross in the mountains of Guadarrama signs the location of this fascist monument to the death of civil war, in a place called Valle de los Caidos.
Why not? We must keep good and bad memories. Go and have a look, and don't forget, ten kilometers distant Escorial is another kind of religious monument.