This is called a coworking space ;)
I know coworking spaces (Betahause in Berlin comes into my mind) which combine a "cyber"-cafe with an optional regular coworking space which gives you flexibility for showing up only 1 day and buy a coffee for working some hours.
When I lived in Spain I managed to find an office for 150 euro a month (all inclusive), which was ideal. Now back in the UK I'd likely pay that a week for anything comparable.
Outside of London there is a dire shortage of accessible and affordable work spaces.