I find it amusing and mildly horrifying when people tried to start movements to save buildings like the Tricorn centre in Portsmouth.
The Barbican seems like a good candidate to keep around, because it has some thought gone into it, and people seem to like it, use it and like the accommodation.
Most of the rest seem to fall into the realm of "sad, cheap city-centre retail blocks" and "places to warehouse poor people". Both of which suffered from being soul-crushing, and seemed to just court anti-social behaviour of various forms.
I suppose there's also London's South Bank area. As someone that used to work in the middle of it, the thing we always said was the best thing about working in South Bank was that we could look across the river at basically anything else...