Going out in Chueca, the gay neighborhood of Madrid and grab a beer in the bars around is fun. One of my favorite programs is going to tranvestite´s concerts there.
Reina Sofia museum is always a good idea. And it's never enough of Picasso's Guernica as well as the other modern art gems. Save some hours for visiting and then look round the corner and have some wine at NuBel.
One of the oldest Italian restaurants in Madrid. The food is great and has a cosy atmosphere with lovely interior. Opposite the Santiago Bernabéu Stadium.