"So far I can say the axe033y oled display is bout as rugged as they get.....the resonator tuning is so far flawless... i would suggest sticking with picaxe supplies...with picaxe. theres different size displays at robotmesh.com but the internal commands that your gonna learn for one prolly aint gonna match all of em...and myself i'm lazy so...... KISS ya knowMost 16x2 LCDs use the same control lines and commands. However, the order and/or configuration of the LCD module's I/O pins can vary from model to model.
Most sites that are selling LCD modules also provide data sheets for their LCDs. Download the data sheet of what you are considering and compare the pin layout with your own LCD.