Some years ago, EVA Air operated a 747-400 Combi route to PTY (Panama City), via the US (I think). Largely, it was a political move as Panama and other central American and Caribbean countries are among the few which still recognise Taiwan (as opposed to the PRC). However, leaving the politics aside, it occurred to me that the 772LR might be an ideal vehicle to restart this route.
At 8,435nm, it's just inside the 772LR's range (for comparison, SYD-LHR is 9,188nm), but the key advantage is that PTY, through a codeshare with COPA, could be a very effective hub for flights to Latin America. At present, only Korean Air and JAL fly to South America from Asia (okay, excluding Malaysia's Buenos Aires route) and this one would obviously be faster in many ways, particularly for ASEAN countries and of course, South American countries wishing to increase trade with this region. Clearly, there is a lot of potential for that to increase.