Maybe not actually a plane, but it can fly.
The Super-X, the most powerfull weapon of the Japanese military in 1984, but no match for Godzilla.
Manned by a crew of six (two pilots, four weapons officers) the Super-X was assigned to the 401 Hiko-tai and based in or near Tokyo.
(the squadron number was seen on caps worn by the weapons officers).
The real 401 Hiko-tai, of course, is an airlift squadron operating C-130H from Komaki Air Base in Nagoya.