I've been on board the Aurora, and I've got a framed model of it on my wall. For no other reason than it looks good.

Like Karnak says, HMS Victory is the oldest commissioned warship in the world (it is still manned to this day).
Its keel was laid in 1759 and was retired from active combat service in 1812, although for the next 110 years it was used for a variety of roles before been restored and dry-docked.
It served under Vice Admiral Lord Horatio Nelson at Trafalgar and was also commanded by Admiral Lord Hood prior to that.
Info about Victory