How to change this code to different taxonomy

This is the code that I am using , but how can I edit it to a custom taxonomy (for example – movies)?
Can someone help me?

<?php
$hide_uncategorized = true;
$limit = 30;  // Show this many entries per page
$range = 5;  // Show this many nav bar page links (other than first & last).
$args = array('orderby' => 'name', 'order' => 'ASC');
if ($hide_uncategorized) $args['exclude'] = '0';
$categories = get_categories($args);
if ($categories) :
   // For some unknown reason, $categories has no [0] entry at times, so renumber.
   $categories = array_merge($categories,array());
   if (isset($_GET['page'])) {
      $page = $_GET['page'];
   } else {
      $page = 1;
   }
   $start = ($page - 1) * $limit;
   $currletter = '';
   echo '<ul class="category_list">';
   for ($i=$start;$i<($start + $limit);++$i) {
      if ($i < sizeof($categories)) {
         $cat =  $categories[$i];
         $catletter = strtoupper(substr($cat->name,0,1));
         if ($currletter != $catletter) {
            if ($currletter != '') echo '</ul>';
            $currletter = $catletter;
            echo "<p> - $catletter - </p>";
            echo '<ul class="list-group">';
         }
         echo '<li class="list-group-item"><a href="' . get_category_link( $cat->term_id ) . '" title="' . sprintf( __( "View all posts in %s" ), $cat->name ) . '" ' . '>' . $cat->name.'</a>  ';
         echo '</li>';
      }
   }
   echo '</ul>';
else:
   echo '<h2></h2>';
   echo 'There are no Categories to list';
endif;?>