OK, now we know it is a graphical display. Can you show a picture of the good one? Are there characters and graphics, color? Are you sure it is LCD? How may contacts are there on the connection?
Look at a character , with a magnifying class. What size is it (pixel x pixel)? None of the graphical displays I have used have a built-in character map, so your screen may be painted one pixel wide by one pixel or byte high.
Here is what part of a 5x7 ASCII table looks like:
0x3E, 0x51, 0x49, 0x45, 0x3E,// 0
0x00, 0x42, 0x7F, 0x40, 0x00,// 1
0x42, 0x61, 0x51, 0x49, 0x46,// 2
Here are the same bytes padded to fill 8 spaces -- the first and last two are always 0:
0x00,0x3e,0x51,0x49,0x45,0x3e,0x00,0x00 ; 0
0x00,0x00,0x42,0x7f,0x40,0x00,0x00,0x00 ;1
0x00,0x42,0x61,0x51,0x49,0x46,0x00,0x00 ;2
There are, of course, other fonts and character sizes. You have a bit of work ahead of you. If you have any idea of the controller, it will make it easier. Otherwise, take a common one and look for the same control codes.
There should be one line (chip select, CS) that goes low and stays low during each transmission. There may be another line that goes low when the transmission is a command/control versus when it is data.
You have a lot of work ahead of you.
Alternatively, find a similar screen with the same number of connections, verify Vcc and Vss, and plug it in. If it is backlit, there may be other connections.