I am not going to prescribe what chores are manly and panty wetting when we disagree on premise of what "fair share" means. And yes, you can redefine the problem such that you think there are no obvious manly chores left in your apartment, but I think that is left up to each couple.
I think you should reconsider your phrasing "dick" as well as your concept of "fair share". Both appear pretty sexist and derogatory to me.
Have a good evening.