Entity Access allows to specify an admin permission

Many entity types just need a single permission to check access in general, like "administer actions".
You can specify the permission on the entity annotation, so in many cases you can avoid a custom entity access control handler.

With entity access control handler

/**
 * @EntityType(
 *   controllers = {
 *     "access" = "Drupal\example\CustomAccessControlHandler"
 *   }
 * )
 */
class ExampleEntity implements EntityInterface

class CustomAccessControlHandler extends EntityAccessControlHandler {
  protected function checkAccess(EntityInterface $entity, $operation, $langcode, AccountInterface $account) {
    return $account->hasPermission('administer example');
  }

  protected function checkCreateAccess(AccountInterface $account, array $context, $entity_bundle = NULL) {
    return $account->hasPermission('administer example');
  }
}

Without entity access control handler

/**
 * @EntityType(
 *   admin_permission = "administer example"
 * )
 */
class ExampleEntity implements EntityInterface