Hopefully, MrDEB's LCD data sheet will look something like this. This first
mandatory requirement is that the LCD be rated to operate at 3.3 volts. 5 volt LCDs will operste at 3.3 volts,
but Vo for contrast adjustment may need to be negative to have a viewable display.
The next item to note is
LCD Module or
LCD Logic current drain. This us the current draw for the
brain of the LCD module, neglecting the backlight which is always listed separately (as it's not an integral part of the module). Here, the module current is typically 1.5mA, which is negligible if left on during game play.
The next important number is the current draw of the LCD's LED backlight. For the module shown, it's a modest 15mA - modest, but 10× the draw of the logic. This can be controlled for a significant reduction in power useage.
Since this will be controlled by a transistor or MOSFET, control this with a PWM output and make the brightness adjustable.
The 15mA draw of this backlight is quite modest. I have some beautiful bright 4×20 modules that want 240mA for the backlight. Huge current drain, but they look so nice!
MrDEB, don't forget the LED's current limiting resistor!