In Drupal 7 following permissions allowed you to immediately configure the fields and display of the respective entities:
- Administer content types (nodes and comment in case comments is enabled)
- Administer users
- Administer taxonomy
In Drupal 8, each fieldable entity automatically gets a separate permission to manage the fields and/or display:
- Entity type x: Administer fields
- Entity type x: Administer display
Administer fields is also labeled as a secure permission and should only be granted to trusted site administrators.