Here is the fix if anyone is interested. This will output the selected checkbox items as a list.
<?php
// vars
$field = get_field_object('family_amenties');
$values = $field['value'];
// check
if( $values ): ?>
<ul>
<?php foreach( $values as $value ): ?>
<li><?php echo $field['choices'][ $value ]; ?></li>
<?php endforeach; ?>
</ul>
<?php endif; ?>
