I've got a basement, and I had at my last house too.
I'm moving in a week and have discovered a hidden basement at the new house. The door won't open easily so it'll be a mystery as to whats down there unitl I move in and can force it!
A lot of old Victorian terraced houses have basements, they were originally used for storing the coal. Many can be damp, sometimes flooded in heavy rain as they have openings to the outside. Even when covered up, there has to be a gap to let the basement breathe so water can still get in.
Incidentally, my current basement extends further than the front of the house, out towards the pavement and road..