When we got my oldest daughter her first cell phone she was given a phone number with the last 4 digits 2001, which is the year she was born. Turned out she wasn't interested in having the phone because all it could do is make phone calls so she hardly used it, and several months later I took it for myself when my phone died. A couple years later, when I got my first smartphone, I kept the same number. I like that my mobile phone number has my daughter's birth year in it.
My son's birthdate is 11-6-06, so that's kind of neat. And I am not superstitious about the number 13 and like that the 13th of July turned out to be my wedding anniversary (just because that's when the venue was available).
I enjoy noting interesting dates whenever they happen and always consider eating pie on Pi day.
And there is a time I seem to always notice on the clock, ever since high school, over 20 years ago: 11:11.