Islam, Christianity, and Judaism do.
Christianity and Islam being the two main world religions, I’d say most cultures do have that ideal.
I don’t know about Buddhist or Hindu requirements.
From WiKi:
Hinduism: Hinduism’s view on premarital sex is rooted in its concept of the stages of life. The first of these stages, known as brahmacharya, roughly translates as chastity. Celibacy is considered the appropriate behavior for both male and female students during this stage, which precedes the stage of the married householder. Many Sadhus (Hindu monks) are also celibate as part of their ascetic discipline. In classical Hinduism, sexual intercourse was seen as a sacred act of procreation- within marriage.
Jainism: Although the Digambara followers of Jainism are celibate monks, most Jains belong to the Shvetambara sect, which allows spouses and children. The general Jain code of ethics requires that one do no harm to any living being in thought, action, or word. Adultery is clearly a violation of a moral agreement with one’s spouse, and therefore forbidden, and fornication too is seen as a violation of the state of chastity.
Buddhism: The teachings of Buddhism include the noble eightfold path, comprising a division called right action. For laymen this involves abstaining from sexual misconduct, and for monks strict chastity.