I have some old mobilephone and I thought that why I dont use these LCDs. So, one of them I open inside and get LCD screen. But it has got a socket and I think I need a connector which is transform it for using in arduino. Is it possible ?
In principle yes: the Nokia 5110 is quite popular for example.
You might be lucky if you do a search: maybe somebody already did a library and schematic for yours. If not I guess you would have to find the maker's docs and start from scratch.
The problem is that some displays include the controller, and some do not.
If you have one with the controller and you have adequate instructions or a datasheet for it, then it is useful. If it does not include the controller, it is essentially useless, as it is if you do not have the datasheet or pre-written code.