Here is a game that I have used before:
Divide students into two teams and assign them a short part of a story (a page or even a paragraph). Then, they must think of a question to "stump" the other side. The other side must answer without looking back at the text. If the other side gets the question right, they get a point.
You could also throw some of your questions in and the team who gets it correct gets a point.
These aren't exactly games, but they are more like things to do in small groups.
Irregular Fold Response
I went to a BEHR workshop by Tarry Lindquist and it was SO good. This is a tip that I picked up there. Students can do this on a piece of notebook paper. They will need to fold it three times to create three boxes. In one box they collect six words that “amaze, amuse or puzzle” them. In another box students summarize what they just read- and they get “extra credit” for using a word in the box above. And in the last box they draw a symbol or a picture of what they just read.
Read My Mind
This is an idea that I got from our Reading Specialist. I think of important words or phrases from the story and write them down ahead of meeting with the students. Then I tell the students the yare going to try to read my mind and get into my head and tell what part of the story I am thinking of, BUT I will give them a hint. I will give them one or two words to help the figure out my brain. For example, if we were reading James and the Giant Peach I might say the word "glowing green" and students would need to tell me I am thinking of the magic beans James dropped that created the giant peach. They love this game.
I had kids (don't you just love it when they do this?) if they could play read my mind. They brainstormed words as they read and then asked a group member to "read their minds."
After finishing the story (or sometimes half way through) I will write on the top of small white boards. I will label one white board characters, another setting, another problem, another events, if we are finished I will mark another solution. If we haven't finished I may mark it prediction. Then students get to choose the board they want and write the characters, setting, etc. depending on what their board says to do. Then we each share our boards to create a whole retelling of the story.