RMS Titanic

The Titanic was an early earth luxury liner known famously for its collision with an iceberg.

Doctors involvement with the Titanic

 * The doctor (in his 9th incarnation) got several people to decide not to board the liner, intern saving their lives.
 * Just after fixing the TARDIS, the Titanic rams into it, some how being able to break through. (DW:Voyage of the Damned)