Australia actually has the Paid Paternity Scheme…it’s available to any eligible employees/workers. The scheme provides eligible working parents with 18 weeks of Parental Leave Pay at the rate of the National Minimum Wage, (currently $590 a week before tax.) True it was only put into place in Jan 2011, but that’s just from the National Government, employees still have discretion on how much Paid/unpaid maternity leave they want to give out. Also if you earn less than $75000 taxable income (I think); you are eligible for the baby bonus: approx $5000 on top of the National Parental Leave Pay (which caters for both partners; adopted parents etc)
Singapore’s paid maternity leave is 16 weeks now, not 12.
HOWEVER, you must be married (to the child’s father), and your child must be a citizen.
I suspect that the requirement of citizenship if not the married state (although possibly that as well) may be true of the occasional other country as well. And it is worth remembering that in some countries women cannot work without their husband’s permission.