Three decades ago, there were two big events at my house. My twins, Jonathon and Hillary, were born on March 31, joining their 3-year-old sister, Amanda. And, 4 1/2 months later, “Rugrats” premiered.

They don’t make shows like they used to, or at least that’s what I’m figuring out now that I’m rewatching Rurgrats with my 4-year-old daughter. At some point recently, the iconic cartoon series about ...