There are several genres of music that include improvisation, yet they are not jazz.
And there are jazz compositions by major composers, including Duke Ellington, that contain no improvisation.
So improvisation, while a key component component of jazz, is not the only or ultimate criterion for assessing whether something is or is not jazz – especially when we consider the directions that jazz took in the postwar era with the third stream movement. I therefore have no qualms about characterizing Catch Me If you Can or A Streetcar Named Desire as jazz. YMMV.