Help identifying the name of the genre of this blues/jazz/lounge music?

[LeopardGecko2e0]

I hear it every once in a while going into stores or on a TV show, but I'm not sure what it's called.

It has a very slow soothing ambient tempo. You mostly hear the upright bass, and the saxophone backed with a smooth drum beat. Almost like Norah Jones' - I Don't Know Why I Didn't Come.

 

[MeltingMedia]

From your description, it's long been called Easy Listening. Perhaps the most popular conductor of this genre was the late Percy Faith.