Reform Judaism, two movements, one from the UK, and one from Germany (notably in the US and Israel)

Liberation theology, a 20th century social theology, mostly Catholic

Progressive Judaism, several liberal movements

Liberal movements within Islam

Modernism (Roman Catholicism), an early 20th century term, mostly used by Pope Pius X for recent heresies

Liberal Judaism, a UK liberal movement

Liberal Christianity, a movement originating in the 19th century

Postmodern Christianity, theology related to postmodern philosophy

Liberal religion, evident in Unitarian and Universalist denominations