In Mesopotamia, women could buy, own, sell, and inherit land. They could engage in commerce and testify in court as equal to men. The same is not true of women today under Sharia.
Muslim women don’t have to take their husband’s last name. They are, however, treated like they are second-class citizens. Quran 2:28:2 states that two women are required to oppose one man in court. Women can initiate divorce, but Imams will often require the husband’s consent or proof of legitimate grounds. Meanwhile, men can divorce any of their wives without reason, so long as she is not menstruating.