You will be able to get the list of custom taxonomy by following code :
<?php
//list terms in a given taxonomy using wp_list_categories (also useful as a widget if using a PHP Code plugin)
$taxonomy = 'genre';
$orderby = 'name';
$show_count = 0; // 1 for yes, 0 for no
$pad_counts = 0; // 1 for yes, 0 for no
$hierarchical = 1; // 1 for yes, 0 for no
$title="";
$args = array(
'taxonomy' => $taxonomy,
'orderby' => $orderby,
'show_count' => $show_count,
'pad_counts' => $pad_counts,
'hierarchical' => $hierarchical,
'title_li' => $title
);
?>
<ul>
<?php wp_list_categories( $args ); ?>
</ul>
Do check and let me know if you find it usefull