That was my introduction to Kubrick, my dad had me watch it on TV as a kid.Agreed. Good movie.
Another good one directed by Stanley Kubrick is Spartacus.
"Paths of Glory" from is really worth a watch if you've never seen it. To me "Strangelove" and "Paths" are companion movies, they have similar themes, a few similar characters and at times visually they look similar...but are tonally opposite.