YANBU
I learned to drive at 17, had a car at Uni but then when I moved abroad I sold the car. I moved to Madrid which has a brilliant public transport system (when I lived there until age 26 you could get a Young Person's travel card which allowed travel across the entire city centre on buses or metro for €20 a month) and when we moved back to England I considered buying a car but when I looked at the cost (initial outlay/tax/MOT/Insurance/repairs/Petrol etc) I just couldn't justify it, even with higher public transport costs.
DD and I live in the town centre, it's a 5 minute walk to the centre of town, 10 mins to DDs school, the main bus terminus is a 30second walk round the corner (and from there I can get to work, family and most essentials directly on those bus routes), the library is 5 mins away, the local theatre is 3 mins away, cinema 10 minutes, 3 supermarkets within 10 minute walk (as well as the one I work at which is a 20 minute walk or 8minute bus trip away) etc.
A bus pass is £42 a month for an adult, so about £10.50 a week, and £30 a month for children, so £7.50 a week so that's £72 a month for unlimited travel in our town (and ExDH and I split the cost of DDs travel card since she splits her time 50/50 between households, so it only costs me £57 a month for all of our travel). Even taking the odd taxi home from work, back from the supermarket (every 3/4 months I will do a big shop of things like laundry powder, big packs of loo roll, cleaning supplies etc which justifies the taxi cost) or to a venue for an event that isn't easily accessed by public transport, a bus pass +taxi fares is still cheaper than running a car.
The main thing is those occasional times you need a car, but I usually just hire a car/van etc for those very rare occasions there isn't a family member with a car available to help me out.