I've been poking around on this.

Islam: Ensoulment takes place at about 120 days or 17 weeks, abortion before then is pretty much fine, after then only to save the mother's life. Or it's at 40 days...imams argue this a lot, apparently.

Zoroastrianism: Only to save the life of the mother.

HInduism: Only to save the life of the mother. (Honored far more in the breach than the observance). Most American Hindus do believe abortion should be legal.

Buddhism: No set doctrine, abortion is a negative in terms of karma, but sometimes giving birth is worse; everyone should make their own judgment.

Baha'i: No dogma, abortion should be entirely between the pregnant person and their doctor, but generally against abortion without a medical reason.