Pope Gregory XIII is not a saint. He had a very tumultuous reign and did not live a very saintly life. Read more about Gregory and his papal reign at the link below.
There is no saint named Alipius. There is, however, Saint Alypius of Thagaste who was bishop of the see of Tagaste (in what is now Algeria) in 394. He is also credited with building the first monastery in Africa. He was a lifelong friend of Saint Augustine of Hippo and joined him in his conversion. Little is known about his life or the reason for his sainthood but he was added to the Roman martyrology in 1584 by Pope Gregory XIII.
There seems to be no Saint Cadog, however there is Saint Cadoc of Llancarvan. Is this who you were referring to?
St. Basil the Great is a pre-congregational saint. He was declared a saint by popular acclaim before there was an official procedure in place for canonization.
Augustine of Canterbury was sent by Pope Saint Gregory the Great with 40 brother monks, including Saint Lawrence of Canterbury to evangelize the British Isles in the year 597.
St. Agnes died as a martyr - considered automatic sainthood by the early Christian community.
St. Peregrine Laziosi was canonized as a saint by the Catholic Church in 1726 by Pope Benedict XIII. He is known as the patron saint of those suffering from cancer and other illnesses.
St. Francis of Assisi was canonized as a saint by Pope Gregory IX in 1228, two years after his death.
St. Gregory the Great is the patron saint of musicians, singers, students, teachers, and the papacy. He is also known as the patron saint against plague and gout.
Gregory the Illuminator is also called St. Gregory the Enligtener. He was born in 257 and died in 331. He is the patron saint of Armenia, the first country to become Christian.
St. Francis of Assisi would have become a saint upon his death. However, he was officially recognized, or canonized, on 16 July 1228 by Pope Gregory IX.
Anthony of Padua was canonized on May 30, 1232, by Pope Gregory IX at Spoleto, Italy.
Saint Gregory the Great and Saint Peter are the patron saints of the popes.
Anne, the mother of the Blessed Virgin Mary, was declared a saint by the early Christians long before the canonization process was instituted. She was honored as a saint primarily by the eastern churches but her cultus extended to the whole Church in 1584 under Pope Gregory XIII.
Saint Gregory the Great is buried in St. Peter's Basilica in Rome, Italy. His remains are located in a sarcophagus below the main altar of the Chapel of the Madonna of the Column.
Saint Francis of Assisi was canonized by Pope Gregory IX on July 16, 1228, at the Papal Basilica of St. Francis of Assisi in Italy.
Pope St. Gregory the Great is the patron saint of singers and choirs because he is the one who compiled and advanced Gregorian Chant (named after him).
Saint Elizabeth of Hungary was canonized by Pope Gregory IX in 1235, just a few years after her death in 1231.