A few ideas.
For the Cargo landers, I'm thinking either names associated with their key role in supporting the supplies needed, so tough names like: Dependable, Resilience, Endurance; or names reflecting their role as the astronaut's home on the Moon and, hopefully, their place as a first step in permanent colonisation, so: Jamestown, Plymouth Rock... or maybe even Botany Bay
For the crew landers, I was thinking more explorer ships, with Wiki suggesting: Explorer, Adventure, Resolution - or maybe Astrolabe if a Frenchman flies, it has a nice spacey sound!
For the Apollos, pioneers (though probably only those who are safely dead), so Grissom, Goddard, Earhart - maybe Tsiolkovskii could get a mention when a Russian flies - or even Korolev or Glushko, if the politics is acceptable (though I suspect the latter in particular would be a big ask for what is still an American ship).
And of course there will be all those Kiefer Sutherland and Keanu Reeves fans emailing in to suggest Enterprise