Catholics call any prayer addressed to the Virgin Mary (often she is just called the Blessed Mother) “Marian” prayers. The Hail Mary (Ave Maria) is the most famous.
The Salve Regina (Latin for Hail Holy Queen) is prayed at the end of the Rosary and is chanted in Latin at the funeral of a deacon or priest and at the funeral of the mother or father of a priest.
“Hail Holy Queen, our life, our sweetness, and our hope. To thee do we cry, poor banished children of Eve. To thee do we send up our sighs, mourning and weeping in this valley of tears. Turn then most gracious Advocate thine eyes of mercy towards us and after this our exile, show onto us the blessed fruit of thy womb, Jesus. O clement, O loving, O sweet Virgin Mary. Amen.”
Here it is in Latin:
“Salve Regina, Mater misericordiae, Vita dulcedo et spes nostra salve. Ad te clamamus exsules filii Hevae. Ad te suspiramus gementes et flentes, in hac lacrimarum valle.
Eia ergo advocata nostra, illos tuos misericordes oculos ad nos converte. Et Jesum benedictum fructum ventris tui nobis post hoc exsilium ostende. O clemens, o pia, o dulcis Virgo Maria. Amen.”
The Magnificat is prayed at Vespers (Evening Prayer) and comes from Luke 1:46–55. This is the prayer the Virgin Mary herself prayed as recounted in the Gospel.
“My soul proclaims the greatness of the Lord, my spirit rejoices in God my Savior; for He has looked with favor on His lowly servant; From this day all generations shall call me blessed. The Almighty has done great things for me, and holy is His name. He has mercy on those who fear Him in every generation. He has shown the strength of His arm, He has scattered the proud in their conceit. He has cast down the mighty from their thrones, and has lifted up the lowly. He has filled the hungry with good things, and the rich He has sent away empty. He has come to the help of His servant Israel, for He has remembered His promise of mercy, the promise He made to our fathers, to Abraham, and his children forever. Amen.”
The Memorare was composed by Saint Bernard of Clairvaux (1090–1154 AD).
“Remember, O most gracious Virgin Mary, that never was it known that anyone who fled to thy protection, implored thy help, or sought thy intercession, was left unaided. Inspired with this confidence, I fly unto thee, O Virgin of virgins, my Mother! To thee I come; before thee I stand, sinful and sorrowful. O Mother of the Word Incarnate, despise not my petitions, but in thy mercy hear and answer me. Amen. “