There are two scenarios depending on the display you have at your disposal.
Newer displays have three 40-pin connectors. This makes connections possible via a single 0.05" or 0.1" step cable (step of the cable depends on the step of the LCD connector of the board).
Older displays have a single 0.1" step connector and you would need an adapter to connect to boards with 0.05" connector (such as LIME2). The the adapter is called A20-OLinuXino-LIME2-UEXT you would also need both 0.05" step cable and 0.1" step cable. Note that A10-OLinuXino-UEXT adapter is not suitable for A20-OLinuXino-LIME2. The layout of the LCD connector of A10-OLinuXino-LIME and A20-OLinuXino-LIME2 is different.