Which controllers are most Commons in arduino, then I could search by its controller
It simply doesn't work that way.
If it's a bare LCD with "zebra stripe" connector then there is no "common controller".
Every LCD needs a custom PCB and controller chip. You're expected to provide that PCB yourself (or pay them to do it for you).
Bottom line: There is no way to buy that screen at that price and use it with an Arduino.