In Logisim I created a circuit containing RAM module with separate input and output lines 
I want to build this circuit from real items. However I could not find any SRAM chips that have separate I/O pins.
Does this kind of RAM chips exist? Or I have to find a way to somehow separate them?
Best Answer
From what you describe, what you want is a tristate buffer from the 'in' side to a normal RAM databus, where the tristate has its output enable connected to the write enable signal.
(I'd include a circuit diagram, but Circuitlab doesn't have tristate buffers!)