initial D or AE86: which came first?

[AG4]

Actually, it's a mis-designation calling the AE86 a hatchback. The one in Initial D has a tapered rear, which makes it more of a coupe or fastback, unlike a real hatchback like the Civic which has a tail almost perpendicular to the chassis.

Actually cars with opening rear hatches(flip up rear door/glass) are considered hatchbacks just like the 3-door AE86 Trueno GT APEX in Initial D.
The AE86 Trueno GT APEX is a 3-door "fastback" coupe, which some (like Toyota) call Liftbacks.
Liftbacks are hatchbacks that usually have longer rear ends with angled "fastback style" rear hatches like the 5-door Mazda 6, Renault Laguna, 3-door Ford Probe, 3-door Toyota Celica etc.

Many modern fastbacks are 3-door hatchback(Liftback) coupes...
But not all fastbacks are hatchbacks, the original fastbacks have separate trunk lids like this old 60's Mustang fastback for example...