The EK flight also used to land at 1:30AM, after almost every public transport option except taxis were done for the day.

EK has the rights to fly to HND only during overnight hours -- land between 2200 and 0659, and depart between 0000 and 0659. Interestingly enough, I believe the A380 can actually operate at HND during the overnight hours, whereas they wouldn't be able to do so during the daytime due to HND's operational efficiency.