The first two photos below apparently show what it looked like across from Souq Sharq in 2004-2005. The second photo comes from this account and the rest come from this account. The small brick home was apparently just south of Marina Mall, but I believe that it no longer stands. The Shamlan bin Ali bin Saif AlRoumi Mosque looks quite different now. The abandoned police station has since been turned into the Police Museum.
The photos of the blue door come from the flickr account above and are of the Bin Khamis Mosque, on google maps other older photographs of the mosque were posted. Behind the mosque today is the Central Bank, completed in 2013.
These photos come from this flickr account and date to 2004-2005.
These images come from this flickr, of an American soldier who was in Kuwait in 2002.
Some lovely photos from Ali Bukhamseen
From the flickr of Mohammad Abdullah