LCD modules come in different configurations 1x16, 2x16, 20x2, 20x4, 40x2, 40x4 etc.
What you need to know is for the purpose of standardisation whichever module of lcd you purchase it should be HD44780 compliant, that way you ll need to study datasheet of HD44780 and through a suitable mcu display whatever you want.
Please understand HD44780 is a character display module standard. For graphics display module you should search the net..