We would like an option to have the item visible 'only individually'. Mostly for history purposes.
An item is discontinued, no longer for sale. We do not want that item in search or catalog, but we want the product page to be found with a direct link, like from order history or a wish list.
Have you considered having the item set to Catalog [only], but not having it assigned to any categories? Then it wouldn't come up in search, and wouldn't be listed in any categories... but the product page would still exist for anyone linking directly to the URL.
Best of luck!