I have a vandercook 325g press from 1947 and I thought that was old.
Considering movable type was in China in 1040 (Bi Sheng, inventor) I wonder if there are any extant presses there.
I don't think the Chinese had presses like Gutenberg invented. Type was set in a frame, inked, and the paper pressed over the inked type manually. Gutenberg's great innovation was coupling the screw press, already in use for pressing olives and grapes for oil and juice, with movable metal type. The Chinese didn't put the two together.