I only know the family living right next door to us. We exchange gifts on special occasions, call each other over for tea etc but other than that I have no clue who lives around us.
Every time we go to Pakistan though, the entire mohalla makes sure they have introduced themselves lol.
My dad is on speaking terms with them all, the ones on the right, left, 2 in the front, and 2 more down to the left. I know their names and say hi or wave whenever I see them.