AddressBook
3 variants · account · for account, checkout pages
cards
A few addresses (1 to 6) shown as cards, defaults marked, with a card to add one: the customer scans and picks.
list
Many addresses or a narrow panel: one line each with the full text and the actions under it.
directory
Dozens of addresses (a trade account): a table with a search field and country chips, columns place, address, phone and defaults, « ship here by default » inline at the end of each row.