What Christian denominations are non liturgical?
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.