I think I must be jaded because we have a really good pediatrician who has a triage nurse. They have limited office hours on weekends for things that can't wait until Monday. I've had them call me in ear drops for swimmers ear, Zantac for reflux, diflucan for thrush, different antibiotic when the first caused a reaction etc etc. I'm fortunate to have a dr who wants his patients to avoid the ER at all costs! We also have a kids urgent care that is open late and on weekends but thankfully I have not had to use it.
I once called the on-call dr on Christmas Day because my 2yo had a horrible stomach virus and she called me in some zofran to control the vomiting so he wouldn't get dehydrated. Gave me awesome advice over the phone on what to do if he didn't get better and told me to call her back if he didn't improve. Incidentally Christmas Day is the ONLY day of the year my pediatricians office is closed.