Show the custom taxonomy terms of a custom post type within the loop.

custom_taxonomy_terms_in_loop.php

<?php
  the_terms( get_the_ID(), 'event-type', '<ul class="event-types"><li>', '</li><li>', '</li></ul>' );
?>

<?php
//save them to a variable
<?php $terms = wp_get_post_terms(get_the_ID(), 'event-type');

//echo them out
if ( ! empty( $event_terms ) && ! is_wp_error( $event_terms ) ) :
    echo '<ul class="event-types">';
    foreach ( $event_terms as $term ) :
        echo '<li>' . esc_html( $term->name ) . '</li>';
    endforeach;
    echo '</ul>';
endif; ?>