Perhaps you did not notice yet that here "LCD" usually refers to something like a 16x2 characters alphanumeric display.
It might display a bar graph in the second row, and it's also availabale in up to 20x4 size.
A minimalistic menu with up and down buttons is nice to display a lot of information, though.
Graphic LCD and touchscreen stuff uses it's own processor and external memory for images etc.
Can be connected (in general anything can be connected 
but that's not too related to Arduino itself.