Nice quiz. A couple of these are marginal: Queen Victoria wrote with her right hand (but painted with her left) as did Mozart (though he was probably ambidextrous).
"LeBron James writes with his left hand, eats with his left hand and uses his dominant left hand for almost everything in his life–except his job." ~ Wall Street Journal.
Wall Street Journal: These NBA Stars Are Left-Handed. Except When They Play Basketball.
sportskeeda: 3 current NBA players who are lefties but shoot right-handed
The Sports Rush: Is LeBron James left handed: Lakers star reveals why he shoots with his right-hand
Fox Sports: LEBRON JAMES, LEFT-HANDED, EXPLAINS WHY HE BECAME A RIGHT-HANDED SHOOTER