Wash it and paint it. A good 100 percent acrylic exterior paint in flat, low luster or satin depending on how much sheen you want it to have. Usually with stucco you need to use a roller designed for textured surfaces, at least 3/4" nap.

I am interested in exterior paint colors fo4 stucco home with light gray roof

Green, Blue and Red are all out I'm afraid. The house was sage green when it was first built and it blended it with the surroundings too much as we are literally backed up against the wood with wilderness out our back door. My husband had it stuccoed then years ago and it came out an pale yellow color which wasn't what he thought he was getting. Now it just blends in with the cream color houses all around us. We need to not stick out like a sore thumb in this older neighborhood we are in, but yet give the house some visual clarity so its more easily noticed and stands apart from the neighbors with a darker tone. Red doesn't go at all with what we've done on the inside and isn't our thing, and while I love blue and use a lot of it inside with teals and aquas, we want the exterior to be a stronger neutral...maybe a mid to darker tone tan. I don't have access in this little town to SW or BM paint chips so am hoping to get some ideas for when we get into the city later this week and I will grab some paint chips then.

Play around with the Benjamin moore or sherwin williams paint visualizers. If you do two colors, you'll make the house look either taller or more horizontal. the picture you've shown makes it more horizontal.