No answers like, “They’re all from Earth”, “They’re all in some version of Starfleet or United Earth Fleet”, etcetera.
My Answer
All three have stolen a Dodge-branded car.
In fact, Paris and Archer stole nearly exactly the same kind of blue Dodge Truck, Archer in ENT:“Capenter Street” and Paris in VOY:“Future’s End”. I found this out while browsing the Memory Alpha facts for the Enterprise episode.
Bonus if you can think of other weird ones.
Good performances from quality actors overshadowed by fans whining about how they wanted the character to be a different character.