My husband does all those things but I also do a lot of the "every other weekend" type chores, too, like organizing all of our stuff, back to school supplies shopping, maintaining our appointment calendars, and dealing with our children's change of season clothing swaps. There are always projects and we split them.
I do consider him sharing the housework as 50/50, however, because he does daily tasks, also. He does the cooking, half of the cleaning, half of the schlepping of children to doctor's appointments and playdates, as well as other as needed things. The daily chores is where the rubber meets the road.
He has also been taking on more small but important daily tasks like monitoring our email inboxes for emails from our kids' schools. I think its more than equitable given that the early years of our lives with children i was either nursing through the night or holding/wearing infants throughout the day. I think a lot of men don't seem to register the overnight labor or the constantly carrying babies and infants as labor (it was freaking exhausting).