Now that we have Falcon 9 and Heavy moon missions are back on the table, but the Shuttle was incapable of supporting any effective Lunar mission profiles.
It was designed to recover satellites and bring them back to Earth safely as part of its military mission. Nothing Space X is offering has such a capability.
Different vehicles for different roles.
The shuttle was very well deigned for what it was intended to do, that's quite right, it's just a shame it was never used to perform one of it's primary tasks. However it also doomed the manned US space programme to operate exclusively in LEO for the vehicle's lifetime.
They can do it of course, Falcon Heavy could launch a car in the general direction of Mars. But they are limited by their use of kerosene in their 2nd stage and its low specific impulse compared to hydrogen.
BFR and it's Raptor engines are better suited for that purpose. But we don't have a BFR yet.
(1) As Dom Toretto always says, American Muscle beats Import every time ;)
It was ridiculously expensive. It was unsafe. And everybody knew that before it flew the first mission.
http://www.iasa-intl.com/folders/shuttle/GoodbyeColumbia.htm...