This one definitely served in New Guinea - and never left.
http://www.myaviation.net/search/pho...05&size=medium
I'm not sure that any squadron sized units were present after 1942 but the aircraft continued in common use for transport and secondary duties in most areas.
I do have a reference for a number of units being based at Rabaul in late 1942 equipped with the G3M3 type. Ref Aircam Aviation No 35. Prior to October the G3M2 type was based at Rabaul.
G3M2 type were used in the Battle of Coral Sea.
The same G3M2 type were used in the attacks on Force Z off Singapore.