LCD display recommendation?

Hi!
I guess I am a newbie here, at least I am new here…
I have been looking around a bit but it's hard to know if what I find really is what I want…

So I need an Arduino compatible LCD-display that works with some existing library, third party or not. The display should be backlit and it should be readable with or without back-light no matter how strong sunlight, like those old LCD display found on arm watches in the 1980's… (and still found today in some applications). The resolution should be reasonable high. 320×240 is fine, a little less will probably also be fine, no less than 128×64 though.

The display should not be bigger than 80×55 (w×h in mm).

Anyone here who know of such a thing…?

I found one, but there is one thing about it that I'm not sure of:
If back-light is off, can I see what the display reads in strong sunlight (or whatever light)? I'm talking about this one.

The project I'm attempting, is a Scooter computer (speed, tripp, odometer, time and more). For instance, those displays found on ”smart”-phones, such as my own old Nexus 4, are useless in strong sunlight, so I don't want anything like that.

Take a look here : LCDs and OLEDs - all products - SparkFun Electronics

The easiest one to interface with an Arduino is the 12864 with ST7920 controller. It is a backlit monochrome display, with 128x64 pixel resolution. It needs only 2 signal lines from the Arduino to control it.

If you go to higher resolutions, that normally means using a colour TFT touch panel. Most of these have 16- or 24-bit parallel interfaces, although a few support SPI.