To answer the original question: pretty well! It'll be five years in March since I sold the car; my significant other does not drive (or own a car), either.
I'm still using a bicycle trailer to pick up larger quantities of grocery items, but started ordering more grocery and household items online this year. It's just as cheap as going to a physical store, and leaves more time for recreational riding!
I think I rented cars/drove six times: three times for work, twice to visit family in other states, and once for Family Vet Day (we have three cats and a dog).
Unfortunately, I took up a new hobby (drumming), which may require a van down the road if I ever get good enough to play gigs. I'm also looking for jobs in other places, though if something comes through, we could probably do the move without purchasing a vehicle, and I'd get to figure out a new bike commute.
2019 could be interesting.