This is a lot of perception stuff at my house. My wife thinks she does more.
I most often do the shopping, cooking. Wife tends to load the dishwasher (the dishes come out nasty IMO). I mow the lawn, (2 hours week) repair crap, address maintenance headaches, vacuum occasionally. She tends to do the bathrooms.
She has taken to doing most of the laundry and this appears a cross she likes to bear. There are 3 of us and she does 5-7 loads per week. I tell her she over washes. My personal stuff should only take one load per week.
I generally clean the fridge. I bake the brownies. I generally walk the dog more.
All in all, I don't think we do a lot of household work and could probably do way less if we organized.
This is an interesting question and I think I will start tracking my actually hours.
I do value you my hours at 3 times hers though because she is unskilled labor and I know how to repair things, paint and generally know how the house and cars are put together. If I were not there, she would need to pay a handyman to do much of the stuff I do. Although it would be infrequently. You won't ever see her patching drywall and paint matching. You won't ever see her fixing a leaking drain or repairing the lawn mower.
So yeah, I think the question of who does more is better stated if there is a value attached to it.
Housework does suck though --- I mean some people like it, but I'm picking electronic toys over scrubbing the toilet 98% of the time.