DH and I tend to spend all weekend together with the dcs. It's our leisure time and we enjoy each other's company, snd enjoy having fun with the dcs and watching them have fun, so we spend as much time as we can with each other.
We do all grocery shopping online so we don't spend time in supermarkets at all.
I work pt hours so I spend the dcs school time getting chores and errands done so they are out of the way at weekends. So our free time as a family is all fun stuff - some weekend classes for the dcs, day trips, visits to London attractions, parks and soft play.
Birthdays, we enjoyed going to all together when DC1 was younger and DC2 was a baby. It was lovely watching her enjoy herself and nice to chat with other parents. Now DC1 is older and has more drop-off parties, so DH and I take her and then we both spend time with DC2 nearby.
Luckily we've never needed to take any of our family to A&E. For scheduled appointments, they are usually on a weekday when DH is at work so I do most of them, though when he was on paternity leave he would come to all the baby's appointments.
We tend to go to all school events for parents as a couple (parent's evening, sports days, assemblies, plays), as we both like to see DCs perform and it makes them happy to see both our faces in the audience. DC2 is in a different nursery now to DC1's school so I take her and DH takes DC1 to school. When they both go to the same school we will do the school run together in the mornings, as it's convenient for work, and allows us to spend a bit of time watching/interacting with the other kids and parents. But I will do pickups on my own as DH works later.