Hey John,
We’re using Advanced Custom Fields 4.4.11.
However, entering the code you supplied worked like a charm:
<?php
$queried_object = get_queried_object();
$taxonomy = $queried_object->taxonomy;
$term_id = $queried_object->term_id;
// the_field() echos the value and you do not need to include your own echo statement
the_field('game_publisher', $taxonomy.'_'.$term_id);
?>
Thank you!