Big Ben was the popular name of a clock tower located in London. However, it is a common misconception that the name refers to the clock tower, when in fact it refers to the bell within.
History
In 1924, Shade Vassily planned to use Big Ben to power his ship. (NSA: The Clockwise Man)
In 1941, during World War II, Jack Harkness tethered his ship to Big Ben. (DW: The Empty Child)
In 1976, Big Ben's clock face was bombed by Black Star. (NA: Love and War, No Future)
In 2006, Big Ben was destroyed by a Slitheen craft which sheared it in half. (DW: Aliens of London) This was witnessed by Elton Pope among many other bystanders. (DW: Love & Monsters) Reconstruction proceeded shortly afterwards. (DW: The Christmas Invasion)
In 2008, the Eleventh Doctor barely missed smashing into Big Ben as he attempted to stabilize his crashing TARDIS following his regeneration. (DW: The Eleventh Hour)
In 2009, in an alternate timeline created by Sarah Jane's actions in 1951 in which the world was destroyed, Luke, Sarah and the Trickster stood near the remains of Big Ben. (SJA: The Temptation of Sarah Jane Smith)
In 2167, the chimes of Big Ben rang for the first time in years to celebrate the end of the 22nd century Dalek invasion. (DW: The Dalek Invasion of Earth)
By the 28th century, Big Ben had been destroyed. (DW: The Sensorites)
In 4039, Big Ben was destroyed in the Graxnix invasion of Earth. (DWM: Hotel Historia)