I have used an 1830 edition of the Ambrosian Breviary as the source text for these hymns.
Canticles
Te Deum
Benedictus
Magnificat
Nunc Dimittis
Hymn After Praying the Office:
Veni, Creator Spiritus
Part I. The Psalter (The Days of the Week Outside of Privileged Seasons)
Matins – Æterne Rerum Conditor
Lauds – Splendor Paternæ Gloriæ
Prime – Iam Lucis Orto Sidere
Terce (Sundays and Solemnities of the Lord) – Iam Surgit Hora Tertia
Terce (Weekdays and Saints’ Feast Days) – Nunc Sancte Nobis Spiritus
Sext – Rector Potens, Verax Deus
None – Rerum Deus Tenax Vigor
Vespers – Deus Creator Omnium Polique Rector
Compline – Te Lucis Ante Terminum
Marian Antiphons at Compline:
Alma Redemptoris Mater
Ave Regina Cælorum
Regina Cæli
Salve Regina
Part II. Proper of the Season
Advent (6 weeks)
Vespers & Lauds – Conditor Alme Siderum
Matins – Æterne Rerum Conditor
—Sixth Sunday of Advent on the Annunciation of the Blessed Virgin Mary
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
Christmas
Vespers I & II and Lauds – Intende, Qui Regis Israel
Matins – Æterne Rerum Conditor
—St. Stephen the Protomartyr (Dec. 26)
Vespers – Duci Cruento Martyrum
Matins – Æterne Rerum Conditor
Lauds – Intende, Qui Regis Israel
—St. John the Apostle and Evangelist (Dec. 27)
Vespers – Audi, Beata Seraphim (Prior to 1830, Amore Christi Nobilis was used)
Matins – Æterne Rerum Conditor
Lauds – Intende, Qui Regis Israel
The Epiphany & It’s Octave
Vespers I & II and Lauds – Illuminans, Altissime
Matins – Æterne Rerum Conditor
—Christophoria or The Return of Christ out of Egypt (January 7)
Matins – Æterne Rerum Conditor
Lauds & Vespers – Herodis Insanus Furor
Second Sunday after the Epiphany in which is celebrated the Most Holy Name of Jesus
Vespers I & II and Lauds – Supplex Sacramus Canticum
Matins – Æterne Rerum Conditor
Lent
Compline – Lux Alma Christe Mentium
—Sundays of Lent
Vespers I – Audi Benigne Conditor
Matins – Æterne Rerum Conditor
Lauds – Iam Christe Tolle Mentium
Vespers II – Ex More Docti Mystico
—Weekdays during Lent
Vespers & Lauds – Audi Benigne Conditor
Matins – Æterne Rerum Conditor
Holy Week
—Palm Sunday
Matins – Æterne Rerum Conditor
Lauds – Iam Christe Tolle Mentium
Vespers II – Vexilla Regis Prodeunt
—Monday to Wednesday
Matins – Æterne Rerum Conditor
Lauds & Vespers – Vexilla Regis Prodeunt
—Holy Thursday
Matins – Æterne Rerum Conditor
Lauds – Vexilla Regis Prodeunt
Vespers – Hymnum Canamus Supplices
—Good Friday
Matins – Æterne Rerum Conditor
Lauds & Vespers – Hymnum Canamus Supplices
—Holy Saturday
Matins – Æterne Rerum Conditor
Lauds – Hymnum Canamus Supplices
Vespers – Hic Est Dies Verus Dei
Eastertide
—From Easter Sunday through Ascensiontide except the Solemnity of the Ascension
Vespers I & II and Lauds – Hic Est Dies Verus Dei
Matins – Æterne Rerum Conditor
— Ascension
Vespers & Lauds – Optatus Orbis Gaudio
Matins – Æterne Rerum Conditor
Pentecost & During Its Octave
Vespers I & II – Iam Christus Astra Ascenderat
Matins – Æterne Rerum Conditor
Lauds – Veni Creator Spiritus
Trinity Sunday
Matins – Æterne Rerum Conditor
Lauds & Vespers (II) – Terræ Polique Conditor
Corpus Christi
Vespers I & II – Verbum Supernum Prodiens
Matins – Æterne Rerum Conditor
Lauds – Pange Lingua Gloriosi (Corporis Mysterium)
Third Sunday in October – Dedication of the Great Church
Vespers I & II, and Lauds – Christe Cunctorum Dominator Alme
Matins – Æterne Rerum Conditor
Saturday Before the First Sunday of Advent
Vespers – Conditor Alme Siderum
Part III. Proper of the Saints*
The Presentation of the Blessed Virgin Mary – November 21
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
St. Andrew the Apostle – November 30
Vespers I & II and Lauds – Apostolorum Principem
Matins – Æterne Rerum Conditor
St. Gabriel the Archangel – December 5
Vespers I & II and Lauds – Regis Superni Nuntio
Matins – Æterne Rerum Conditor
The Ordination of St. Ambrose, Bishop, Confessor, Doctor and Patron – December 7
Vespers I & II and Lauds – Nostrum Parentem Maximum (Prior to 1700, Miraculum Laudabile was used)
Matins – Æterne Rerum Conditor
The Immaculate Conception of the Blessed Virgin Mary – December 8
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
St. Joseph, the Spouse of the Blessed Virgin Mary – December 12
Vespers I & II and Lauds – Dignum Canentes Angeli
Matins – Æterne Rerum Conditor
The Chair of St. Peter the Apostle – January 18
Vespers I & II and Lauds – Quodcumque In Orbe Nexibus Revinxeris
Matins – Æterne Rerum Conditor
St. Sebastian, Martyr – January 20
Vespers & Lauds – Sebastiani Martyris
Matins – Æterne Rerum Conditor
St. Agnes, Virgin and Martyr – January 21
Vespers & Lauds – Agnetis Almæ Virginis
Matins – Æterne Rerum Conditor
St. Vincent the Levite – January 22
Vespers I & II and Lauds – Beate Martyr, Prospera
Matins – Æterne Rerum Conditor
The Purification of the Blessed Virgin Mary – February 2
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
The Chair of St. Peter in Antioch – February 4
Vespers I & II and Lauds – Quodcumque In Orbe Nexibus Revinxeris
Matins – Æterne Rerum Conditor
St. Agatha, Virgin and Martyr – February 5
Vespers I & II and Lauds – Piis Sacratum Vocibus
Matins – Æterne Rerum Conditor
The Finding of the Holy Cross – May 3
Vespers I & II and Lauds – Vexilla Regis Prodeunt
Matins – Æterne Rerum Conditor
St. Victor the Moor, Martyr – May 8
Vespers I & II and Lauds – Victor, Nabor, Felix, Pii
Matins – Æterne Rerum Conditor
Translation of St. Nazarius, Martyr – May 10
Vespers I & II and Lauds – Sacri Triumphales Tui
Matins – Æterne Rerum Conditor
St. Dionysius (of Milan), Bishop and Confessor – May 25
Vespers I & II and Lauds – Regi Polorum Debitas
Matins – Æterne Rerum Conditor
St. Philip Neri, Priest and Confessor – May 26
Vespers I & II and Lauds – Sacrum Philippo Canticum
Matins – Æterne Rerum Conditor
St. Barnabas the Apostle, First Bishop of Milan – June 11
Vespers I & II and Lauds – Legis Supernæ Nuntio
Matins – Æterne Rerum Conditor
Sts. Protase and Gervase, Martyrs – June 19
Vespers I & II and Lauds – Grates Tibi, Iesu, Novas
Matins – Æterne Rerum Conditor
Nativity of St. John the Baptist – June 24
Vespers & Lauds – Nostræ Salutis Nuntio (Prior to 1830, Almi Prophetæ Progenies Pia was used)
Matins – Æterne Rerum Conditor
Sts. Peter & Paul, Apostles – June 29
Vespers I & II and Lauds – Apostolorum Passio
Matins – Æterne Rerum Conditor
Visitation of the Blessed Virgin Mary – July 2
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
Sts. Nabor and Felix, Martyrs – July 12
Vespers I & II and Lauds – Victor, Nabor, Felix, Pii
Matins – Æterne Rerum Conditor
Our Lady of Mt. Carmel – July 19
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
St. Mary Magdalen – July 22
Vespers I & Lauds – Cælestis Aulæ Principi
Matins – Æterne Rerum Conditor
St. Apollinaris, Bishop and Martyr – July 23
Vespers I & II and Lauds – Apollinaris Martyris
Matins – Æterne Rerum Conditor
Sts. Nazarius and Celsus – July 28
Vespers I & II and Lauds – Sacri Triumphales Tui
Matins – Æterne Rerum Conditor
St. Calimerius, Bishop and Martyr – July 31
Vespers I & II and Lauds – Optata Fulsit Præsulis
Matins – Æterne Rerum Conditor
The Finding of St. Stephen the Protomartyr – August 3
Vespers & Lauds – Duci Cruento Martyrum
Matins – Æterne Rerum Conditor
The Transfiguration of Our Lord – August 6
Vespers I & II and Lauds – Plaude, Mater Caritatis
Matins – Æterne Rerum Conditor
St. Lawrence, Martyr – August 10
Vespers I & II and Lauds – Apostolorum Supparem
Matins – Æterne Rerum Conditor
The Assumption of the Blessed Virgin Mary – August 15
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
St. Simplician, Bishop and Confessor – August 16
Vespers and Lauds – Simpliciani Carmine
Matins – Æterne Rerum Conditor
Beheading of St. John the Baptist – August 29
Vespers I & II and Lauds – Nostræ Salutis Nuntio
Matins – Æterne Rerum Conditor
The Nativity of the Blessed Virgin Mary – September 8
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
The Most Holy Name of the Blessed Virgin Mary – September 11
Vespers I & II and Lauds – Mysterium Ecclesiæ
Matins – Æterne Rerum Conditor
Feast of the Exultation/Elevation of the Holy Cross – September 14
Vespers I & II and Lauds – Vexilla Regis Prodeunt
Matins – Æterne Rerum Conditor
The Seven Sorrows of the Blessed Virgin Mary – September 15
Matins – Æterne Rerum Conditor
Lauds & Vespers – Dum Vitam In Ara Golgothæ
St. Michael The Archangel – September 29
Vespers I & II and Lauds – Invicte Princeps Michael
Matins – Æterne Rerum Conditor
The Holy Guardian Angels – October 2
Vespers I & II and Lauds – Custos Preces Mortalium
Matins – Æterne Rerum Conditor
St. Raphael the Archangel – October 24
Vespers I & II and Lauds – Divine Ductor Raphael
Matins – Æterne Rerum Conditor
Feast of All Saints – November 1
Vespers I & II and Lauds – Deo Fruentes, Fulgidæ
Matins – Æterne Rerum Conditor
St. Charles Borromeo, Bishop and Confessor – November 4
Vespers I & II and Lauds – Urbis Parentem Carolum
Matins – Æterne Rerum Conditor
St. Martin of Tours, Bishop and Confessor – November 11
Vespers I & II and Lauds – Virtute Clarus Bellica
Matins – Æterne Rerum Conditor
Part IV. Common of the Saints
Common of One Apostle
Vespers I & II, and Lauds – Æterna Christi Munera
Matins – Æterne Rerum Conditor
Common of One Martyr
Vespers I & II, and Lauds – Deus Tuorum Militum
Matins – Æterne Rerum Conditor
—One Martyr who is also a Bishop
Vespers I & II, and Lauds – Æterna Christi Munera
Matins – Æterne Rerum Conditor
Common of Many Martyrs
Vespers I & II, and Lauds – Æterna Christi Munera
Matins – Æterne Rerum Conditor
Common of Confessors
—Of a Confessor & Bishop
Vespers I & II, and Lauds – Iesu Corona Celsior
Matins – Æterne Rerum Conditor
—Of a Confessor & Priest
Vespers I & II, and Lauds – Iesu Corona Celsior
Matins – Æterne Rerum Conditor
—Of One Confessor
Vespers I & II, and Lauds – Iesu Corona Celsior
Matins – Æterne Rerum Conditor
Common of a Virgin Martyr
Vespers I & II, and Lauds – Iesu Corona Virginum
Matins – Æterne Rerum Conditor
Common of One Matron
Vespers I & II, and Lauds – Ancilla Christi Nobilis
Matins – Æterne Rerum Conditor
Common of the Dedication of a Church
Vespers I & II, and Lauds – Christe Cunctorum Dominator Alme
Matins – Æterne Rerum Conditor
Office of the Blessed Virgin Mary
Matins & Vespers – Mysterium Ecclesiæ
Lauds – Vere Gratia Plena Es
Terce, Sext, None & Compline – Memento Salutis Auctor
Saint Augustine's Lyre 