Unfortunately, from the 18th December, that's stopping: https://monzo.com/blog/2017/10/17/atm-limits-announcement/
Was your experience all within the inner city?
For sure many coffee shops and convenience stores accept card, but I definitely find myself having to pay cash quite often (just for instance, the laksa place on Hunter street).
There are plenty of cards in the UK that do not have a foreign transaction charge on purchases (nationwide, lloyds avios, for example).
It got to a point I had to open local bank accounts and do wire transfers from my UK bank account to local bank accounts and use the local debit card. I just couldn't get my TSB/Lloyds card to work anywhere except high end western shops like Apple Store.