...Youcould have a player appear for both teams in the box score. You could even have a pitcher get a win and a loss in the same game...!
Back in the late 1960s or early 1970s, the Red Sox had three games in a row rained out against the same team. To try to minimize the amount of make-up games to be played, they agreed to start playing early that next morning, and to continue to play until a pre-set time to make sure that the visiting team could catch a flight out of town, and any game in progress would be suspended, to be completed later, regardless of what inning they were in.
They finished the first game and played a few innings into the second. The Red Sox were losing at the time. Before the remainder of the game was played, the Red Sox pitcher of record was traded to the other team. Under the scoring rules of that era, if a starting pitcher did not pitch five innings, but if he left with his team ahead and they never relinquished the lead, the win had to be given to whomever pitched the third out of the fifth inning. I think they got rid of that rule in the late 1970s.
Anyway, if that former Red Sox pitcher had pitched just the third out of the fifth inning, he would have been both the winning and losing pitcher in that game.
Regarding NBA game suspensions, I think a Celtics/Pistons game might have been suspended when the roof started leaking, causing a safety hazard to the players, but I don't remember much else about it.