Tags Sorted By Characters?

You can use wp_get_post_terms to achieve this. The third argument for this function supports an orderby parameter which defaults to name i.e. to sort alphabetically by name

$args = array('orderby' => 'name', 'order' => 'ASC', 'fields' => 'all');
// orderby also supports 'count', 'slug', 'term_group', 'term_order', and 'term_id'

The first 2 arguments of that function may be left as default