You unlikely will drive the LCD controller interface by a processor bus. Most microcontroller systems don't expose a bus although they are able to. More likely you'll drive the controller by dedicated PIO pins. Maximal speed of the LCD interface is a few MHz while PIC32 bus would operate in a high 10 MHz range. Connecting the LCD to an existing bus, e.g. for external RAM or ROM would seriuosly slow it down.
Most LCD controllers, e.g industry standard Hitachi HD44780 uses 6800 type, but you can switch to 8080 by changing the logic of two pins. E and R/W versus /R and /W. With PIO interface, one can be implemented as well as the other.