DP (male) does half of the laundry, almost all the washing up, does a proper clean of the toilets once a week, does maybe 40% of the cooking, and is in charge of hoovering the stairs. We do a meal plan, and shopping list together, and he's just picked up doing the weekly food shop as he now finishes early once a week.
I (female) do half the laundry, proper clean of the bathroom once a week, 60% of the cooking, sweep the whole of downstairs and wipe down the kitchen daily, all dusting, and all the less frequent jobs like gardening, cleaning the windows, steam cleaning the floors, cleaning the sofa, washing blankets and cushions, all the DIY, the admin and budgetting.
He moved in with me, so it was easy for us to slip into me being in the project manager role, as I was already running the house solo. We have had a few discussions regarding this, which is the reason for us meal planning together, him taking on the food shopping, why he's in charge of toilets and stairs, and why he's mostly stopped asking me where things are until he's really looked.
Definitely not a "traditional" split, not that I'd be putting up with it if it were, because we both work.