PHP

Remove the Breadcrumbs on the Shop Entirely

remove_action( 'woocommerce_before_main_content', 'woocommerce_breadcrumb', 20, 0);

Remove the Breadcrumb on the Shop Page

function my_woocommerce_custom_breadcrumbs() {
    if(is_shop()){
    remove_action( 'woocommerce_before_main_content', 'woocommerce_breadcrumb', 20, 0);
    }
}
add_filter('woocommerce_before_main_content','my_woocommerce_custom_breadcrumbs');