This is the Curved-billed Thrasher or Toxostoma curvirostre. It is a relatively common bird in South-central Arizona and its range extends deep into Mexico. I am finding taking pictures of birds to be an interesting challenge. You have to be able to see them before you can take a picture of them. I have gone to setting my camera at 2000th of a second and trying to get the bird in focus before snapping the shutter. I get about one of five successful photos.