On your taxonomy archive, you’re not referencing your shows taxonomy in the get_field call for actors. So instead of just:
<?php $get_actors = get_field('actors'); ?>
This needs to be something like:
<?php $get_actors = get_field('actors','shows_'. get_queried_object()->term_id); ?>
You may need to edit the above if shows is your taxonomy slug for the taxonomy you attached the actors ACF field to. You just need a reference in that call to the term you’re pulling this data from and that’s placed in the get_field call as the second argument in the form of term-slug_term-id.
