When kids play "Simon Says", the object is supposed to be to listen for "Simon" to SAY to do something, and if "Simon didn't say" to so something, and you do it anyway, you get out.
So, the "leader" of the game is "Simon." He will say, "Simon says....(clap your hands, stand on one foot, close one eye, etc.)," and everyone is supposed to follow along. If you DON'T do what Simon says, or if you do what he says, but doesn't say, "Simon says.,,.." then you are "out" of the game, or if it is only 2 people, they can score points somehow and take turns and add up points at the end to determine who the winner is. I would suggest with 2 people to take turns being "Simon" and if someone messes up, rather than being "out,", "Simon" just continues till the other person gets it right, then thy switch. Of course, to make this non-competitive, you would simply keep everyone in the game (nobody "out"), and just take turns being "Simon", and not keep score.
I don't know if there is a Turkish equivalent of this game. "Simon" is not a Turkish game of course. If there is a traditional Turkish game, somebody needs to let me know so I can share it.
"Mother May I?" Is a similar game. http://www.parentsconnect.com/parenting-your-kids/activities/family-fun/mother_may_i.html
I think the children need practice reading, writing, listening, and speaking the language. My 4 year old is reading, but not writing yet (she's working on letters and spelling but it will take a while before she is actually writing words and sentences).
The additional challenge of playing this in Turkish is that the children also need to learn the words and phrases. So I would say that the first several times of playing these games, you would give them instructions in English and Turkish and have them repeat them. Later, for readers, you can make flashcards with instructions to read outloud with such tasks as "bring me a pencil" or "take three steps" or "turn around 3 times".
I will need help coming up with some actions (I still don't know more than just a smattering of Turkish), and then I will post a list here later. Or if you are Turkish, please comment below with suggestions.