The phrase "off limit" means that something is restricted, prohibited or inaccessible. Some antonyms for this phrase are "accessible," "open," "permissible," and "available" which means that something is allowed and can be accessed or used without limitation. Examples include a park that is open to the public, a website that is accessible to everyone, a book that is available in the library, or a service that is permitted. These antonyms indicate a state of freedom and the absence of restrictions. On the other hand, synonyms like "forbidden," "prohibited," or "restricted" imply that something is not allowed or is out of reach.