Lone Wolf and Cub: Baby Cart at the River Styx (1972)

The second Lone Wolf and Cub film continues the story of sword for hire Ogami Ittō and his three-year-old son, Daigoro, whom Ittō pushes around in a rickety wooden baby cart. It opens with a truly memorable scene, setting the tone for the elevated levels of savagery and bloodshed that follow.
Hired by a nervous businessman to protect his financial and personal interests (i.e. assassinate someone), Ittō must first face the skilled Hidari brothers, aka the Three Masters of Death. As if that wasn't a difficult enough task on its own, the swordsman also has to contend with his greatest enemy, the Shadow Yagyū, whose female ninjas give the series the opportunity to further explore the role of women in the power play between good and evil.

4 points for good parenting out of 5