How to Create movie schedule by custom post type query

It’s very good that you are using Advanced Custom Fields.
Use this for assigning running dates to movie and by making use of WP_Query you can call movies wherever is matching date.

For fetching posts you can use following code:

$args = array(
   'post_type'  => 'movie',
   'meta_key'   => 'date',
   'meta_query' => array(
        array(
           'key'     => 'date',
           'value'   => array('2016-10-08'),
           'compare' => '=',
         ),
    ),
);
$query = new WP_Query( $args );