Custom Date fields can be added by clicking on the Plus button in the Fields manager, on both Organization and Event levels, and selecting the option Date in the dropdown offered.
Planners can edit the name of the field (e.g. Date of birth), the label for the field visible to contacts and participants (which may or may not be the same as the name of the field) and the category the field belongs to (e.g. Personal information).
The field can be further customized by selecting what might be the default value for this field.