A port with many old dhows, Failaka Island can be reached by regular ferry services. There are also some Bronze Age and Greek archaeological sites well worth viewing, including the island's Greek temple. Failaka Island was named Ikarus by the Greeks who, under Alexander the Great, established an outpost in the island.
Kazmah desert cliffs
Being one of the few elevations in the Kuwaiti desert these cliffs allow a good view on the bay if the visibility is good. A lot of young Kuwaitis come here on weekends to challenge their Jeeps and Quads uphill.
Although the city keeps growing Kuwait is still largely a vast and uninhabited desert. Going away from the city many roads will take you to places where there is nothing but sand and sand. Certainly this is the excitement you'd look for every weekend in the winter, it's still a nice experience once if you are visiting in the summer.