Non-liturgical means not related to public worship.
Creed
Any music not written for use in religious rituals or celebrations is non-liturgical. As such, almost every major composer from any age wrote at least some non-liturgical music. From the earliest times, Monteverdi, Handel, Bach, Haydn, Mozart and Beethoven up to our own time, they all have written non-liturgical music.
Strictly speaking, any organized common prayer or order of worship is liturgical, or at least has a liturgical element, so the only completely non-liturgical denomination would probably be the Society of Friends (Quakers). Even their waiting for the Holy SPirit to move someone to speak, however, has been called the "Liturgy of Silence". More generally, "non-liturgical" is used by some congregations or denominations, usually evangelical or Pentecostal, who prefer non-scripted or improvisational worship.
The leader of non-liturgical church services is often referred to as a pastor, minister, or simply a church leader. Unlike liturgical churches that follow set rituals and formalized worship, non-liturgical services may emphasize a more spontaneous and personal approach to worship. The specific title may vary based on the denomination or church tradition.
One example of non-liturgical Latin poems set to simple melodies are the "Carmina Burana" composed by Carl Orff in the 20th century. These poems were taken from a collection of medieval texts and set to music in a more contemporary style. They are often performed with a focus on rhythmic intensity and dramatic delivery.
Liturgical refers to rituals and practices within religious worship, such as Mass in the Catholic Church. Non-liturgical worship involves spontaneous or less structured forms of religious expression, like some Protestant services.
There are many. Kaddish is a well-known example.
Motent: A non-liturgical composition that oftern featured to singers singing in two different languages.Conductus: Non-liturgical Latin poems set to simple melodies.Organum: One voice singing a chant melody, accompanied by one or more voices singing the same rythm.Gregorian Chant: A cappella, monophonic settings of liturgical texts.(APEX)
Motet
Motet
christian songs like At the Cross,Through It All,Above All etc.