There is a square near our flat which has a very sordid past with the government of Barcelona. This is fascinating article about it.
For my purposes, though, it is a place where a very different side of Barcelona can be seen. On the weekends, it is bustling with activity. Just walking a few hundred yards into this square removes you from the tourist-heavy Borne and into a much more local environment. It is yet another example of Barcelona trying to preserve its own culture.