These are medals with ribbons on them. They are papal honors given to people who have been nominated by their local bishops because they have been extremely helpful to their local church.
These are in their original cases. One is from Pope St. Pius X and the other is from Pope Pius XII. Their respective coats of arms indicate from which pontificate they originate.
These items are not particularly rare but they do come directly from the Vatican and from the presiding pope.