Instead of Simon Says, I use "Please." This teaches American/English culture as well as being shorter.
If the kids can read, make attachable name cards that You put onto their backs. On the cards, have names of characters all students know (depending on where You are and the age level, it might be Donald Duck, Batman, you, other students, the school mascot, and the president of the country, for example). The kids have to find out who they are by asking yes/no questions. If the kids can't read, use pictures instead (this can be expanded to fruits, animals etc.).
An activity I use at the college level (but low English ability) might work: After teaching descriptions (clothing and/or people), I send a boy and a girl into the hall-way with a project (e.g., to read a selection or draw a picture). While they are out, I have the students describe one of the two. This can be a list of attributes and/or a picture. Then i call the student back in, and have the student evaluate the description, with my prompts if necessary. Then we do the other student.