Theoretically, you could connect the CFAX12864* series to the parallel port, but the mechanical challenge of making a connection to the CFAX12864C's fine pitch connector would likely end in failure. We do not recommend trying to connect the CFAX12864C series without a PCB laid out to accommodate the direct-solder TAB connector.
The touch screen is analog, so you need both an ADC and a way to switch a voltage across the screen.
makes a touch screen controller that has a very high-level interface.
TI has the old Burr-Brown touch screen controller
, it is lower level, but more economical.
You could also use analog-in port pins of a modern microcontroller, combined with firmware.
With any of these touch screen solutions, you would then also be faced with the task of interfacing the touch screen controller to the PC.