Why not the RMS Olympic? It was the lead ship of it's class, survived several collisions, served in WWI, and completed 257 round trips across the Atlantic, transporting 430,000 passengers on her commercial voyages, travelling 1.8 million miles (according to Wikipedia.)
Of course, the sister ship with the most casualties was the one most remembered. The third and largest one (Britannic) got one movie, but only thirty died when she hit a mine.
It makes me wonder how many people would feel safe going out on this replica...