About the only thing on the OP's original list that I don't do regularly is mow the lawn (I have grass pollen allergies, can't work the electric lawnmower, and have an eversion to it since I left the family home and no longer have to mow 1/3 of an acre for £1 pocket money). But I've still been known to do my Gran's lawn in recent years if DH has been travelling too much to get there (we look after her garden).
We shared DH's our car after we got married, until I bought one as well after DD was born. As DH prefers my current car (nice Golf) to his (decent Volvo) at times, he is more than happy to let me drive around at weekends. In fact, he hardly drives at all nowadays as he cycles to work and I drive to work, and I tend to do more than 50% of the weekend driving. I pump my own petrol (unless he is either being particularly nice and buys it while he has "borrowed" my car, or we're in a rush and he pumps while I go in to pay).
He spends a lot of time travelling, so I am regularly "home alone" (although usually with DD and au pair too). And when I was doing a Masters after DD was born, he used to take her to MIL's for weekends so I could write my essays and study - and I'd be completely alone then, which was quite nice! 
I wire plugs as often as not, change lightbulbs, sort blown fuses, dealt with the great washing machine flood of 2007, clear out blocked drains, do most of the lifting and hauling, check my own oil and top up my own water levels, change flat tyres, dig the garden and allotment ......
He is great and well able to do these things also, and will when he is at home. But he's away a lot so I have to just get on with it. Although he does all the ironing when he is at home, and I tend to pile it up for his return unless something is urgent. 