Suitable FFC socket for this LCD module
It is highly unlikely that you would find a standard connector that could accomodate the flex tab off this display directly. All the connectors I've seen have side to side openings that correctly align the tab with the connector so that the contacts line up. 

If your project is a one off type of thing you may be able to follow one of two approaches. 


Cut away part of the flex tab on the overhang side so that it fits correctly in a standard connector.
You may be able to find certain connectors that could live through you grinding out one edge making the connector with an open throat on one side. For this I would select a connector that was a hard body instead of a soft nylon style. 


Another alternative that you have is to see if a wider connector such as a 30 pin unit has a throat wide enough for this whole tab to fit into. You would just skip connecting to the pins of the connector where the overhang on the tab exists. My analysis shows that a 30pin connector would work in this manner. 



Since you are looking at low cost displays from AliExpress you could look at adding these 0.8mm 30 contact FFC connectors into the cart. The each price for the connectors is pretty low.

http://www.aliexpress.com/item/Fpc-ffc-connector-socket-flat-flexible-cable-socket-0-8mm-30p-socket/1255563803.html