LCD display under power saving mode To make LCD display, Pro Mini and ATMega2560 to run on one set of battery for months, appreciate idea and comment.

Which LCD to use? 

Which LCD chip controller chip (hide inside the LCD) has better power saving mode?

Which library with functions of power saving and also can put out VERY beautiful per-programmed display, like multiple fonts, different fonts size, some graphics like circle, rectangles, color fills, gradual-color-changing background with text and graphic at 'foreground' (as in PC power point style)?

Under context of  


Small Mono chrome 2 lines text display
3 inches mono chrome graphic 128 x 64 or similar      
3 inches color graphic, 320 x240 or similar


Many thanks in advance
Use an eInk/ePaper style display, which uses no power while the display is not changing.  These come in monochrome greyscale, and have excellent readability.

This solves only part of your problem as you still need to power the CPU.