Human Fertility Database
The Human Fertility Database (HFD) is a high-quality source of fertility-related data maintained by the Max Planck Institute for Demographic Research. It uses only government-collected data, including census data and records of births and deaths. Because of the high standards, data is limited to a few countries. It generally correlates well with the more widely available UN/Gapminder data, but on occasions where there are discrepancies (such as the 1966 anomaly for fertility in Japan) the HFD data is likely to be more reliable.
Their website is www.humanfertility.org.