Both of my children were born with brown eyes that haven’t changed at all, as was I. My family is of European descent as far as I know.
My sister, on the other hand, was born blonde and blue-eyed and remained that way until she was about five, when her hair and eyes turned dark brown. Her kids were both born with the typical “baby blue” eyes that darkened to hazel within a year.
I’ve often heard the “all babies are born with blue eyes” thing and mentioned mine, and was told that I was either lying or incredibly rare. From the other end, my sister had a grade-school science teacher who insisted that no one’s eyes ever changed color, and accused her of lying when she told him about her color change.