Bin Khamis is a historical mosque located near Bait Dickson and beneath the Central Bank of Kuwait. It was originally built in 1772 and renovated in 2009. Below you can see photographs of the mosque in the early 2000s, before renovation. They come from this flickr, google maps, Kuwait: Arts and Architecture, A Collection of Essays, and a book of old photographs published by the Center for Research and Studies on Kuwait.
Here are a few photos of the mosque today.