St. Catherine Laboure' - Died in 1876 and was exhumed and found incorrupt and completely flexible in 1933. She was a sister of the Daughters of Charity and a Marian visionary who relayed the request from the Blessed Virgin Mary to create the Miraculous Medal, which is worn by millions of Catholics and even non-Catholics today. Her body is on display under the side altar in the Chapel of Our Lady of the Sun in Paris.
St. Vincent de Paul, died 1660. Fascinating, but is it true? Throughout the years the Roman Catholic Church has found the bodies of some of their saints to be incorrupt. When this happens, the body is often put on display (quite often they are put inside a Church altar with a glass front).