$days = array();
$days['sunday'] = array();
$days['monday'] = array();
$days['tuesday'] = array();
$days['wednesday'] = array();
$days['thursday'] = array();
$days['friday'] = array();
$days['saturday'] = array();

// initialization for $inner_args & backup the current global $post
$sunday_args = array(
        'post_type' => 'show',
        'posts_per_page' => '-1'
    );
$sunday_query = new WP_Query($sunday_args);

echo '<ul class="show_list">';

while ($sunday_query->have_posts()) : $sunday_query->the_post();

    $temp_array = array();
    $schedules = get_post_meta($post->ID, 'show_sched', false);
    $title = get_the_title();

    if($title == 'Dan Test') {
        //echo '<pre>';
        //var_dump($schedules); exit;
    }

    foreach($schedules as $s):

        foreach($s as $schedule):

            $temp_array = array();

            $theday = $schedule['day'];
            $theorder = $schedule['start_hour'];
            $themeridian = $schedule['start_meridian'];

            if(!empty($themeridian) && strtolower($themeridian == 'pm')) {
                $theorder += 12; // $theorder equals $theorder + 12
            }

            $temp_array['title'] = $title;
            $temp_array['link'] = get_the_permalink();		
            $temp_array['day'] = $theday;
            $temp_array['order'] = $theorder;

            $days[strtolower($theday)][$theorder] = $temp_array;

        endforeach;

    endforeach;

endwhile; 

foreach($days as $day) {

    ksort($day);

    foreach($day as $d) {

        $theday = $d['day'];
        $theorder = $d['order'];
        $title = $d['title'];

        if($theday == 'Sunday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } elseif($theday == 'Monday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } elseif($theday == 'Tuesday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } elseif($theday == 'Wednesday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } elseif($theday == 'Thursday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } elseif($theday == 'Friday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } elseif($theday == 'Saturday') {

            echo '<li class="show">';
                echo '<span>'.$theorder.'</span>';
                echo '<div>'.$title.'</div>';
            echo '</li>';

        } else {}
    }
}

echo '</ul>';