Replace deprecated usages of entityManager in list builder classes

Please always add the entity manager deprecation parent so the issues can be found easily. Also be careful to check the existing issues for overlaps, some are changing a lot of places.

+++ b/core/modules/config_translation/src/Controller/ConfigTranslationFieldListBuilder.php
@@ -37,19 +46,19 @@ class ConfigTranslationFieldListBuilder extends ConfigTranslationEntityListBuild
    * {@inheritdoc}
    */
   public static function createInstance(ContainerInterface $container, EntityTypeInterface $entity_type) {
-    $entity_manager = $container->get('entity.manager');
+    $entity_type_manager = $container->get('entity_type.manager');
     return new static(
       $entity_type,
-      $entity_manager->getStorage($entity_type->id()),
-      $entity_manager
+      $entity_type_manager->getStorage($entity_type->id()),
+      $entity_type_manager
     );
   }

This one is already in #3025427: Add @trigger_error() to deprecated EntityManager->EntityTypeBundleInfo methods I think.

You will notice that it's not always so easy, because often methods of entityManager were used that are now on different services.

That's why I'm currently working on deprecations grouped by the replacing service, like the issue above. But soon there's only EntityFieldManager and EntityTypeManager left, so in general +1 one updating all entity list builder classes together, but you might want to avoid overlaps with the above issue.

re-roll after #3025427: Add @trigger_error() to deprecated EntityManager->EntityTypeBundleInfo methods and fix most of failures

A bit more fixes and clean-up

and the last one

Looks good I think.

I think that injecting the entity storage is something we shouldn't do, and one case injects the list of entity type definitions, that's even weirder, but changing that is not in scope of this issue.

Filed follow-up #3038302: Do not cache entity type definitions in EntityDisplayModeListBuilder

Committed and pushed 9c547baa7e to 8.8.x and 15332e965d to 8.7.x. Thanks!