On this line, the old guy could be named:
Axis & Allies 2nd Edition (Classic)
or, to cover all:
Axis & Allies 1st/2nd/3rd Editions (Classic)
Since you don’t see “Classic” anywhere in the box or the manual or anything for real, it fits better between parenthesis (people that don’t know stuff might think it’s not the one, since the one they have is not called “Classic” anywhere, of course).