Philadelphia allows any individual member of city council to veto any construction project for any reason[1]; it's called "councilmanic prerogative", and it is unsurprisingly linked to a number of corruption cases as well as some very murky cases of political retribution[2].

[1] https://www.seventy.org/publications/2012/01/04/councilmanic... [2] http://www.phillymag.com/citified/2016/05/09/kenyatta-johnso...