Basically I have very low level High school students who will not play most games if I leave them to themselves. So I need to interact with them directly to make sure they're doing something!
I have also just about given up on teaching them much, and would prefer games that I can explain how to play and then play. No new language needed, just get them talking in English.
Games that have worked alright were things like modified scattergories (I give them a topic and they write as many words as they can...although usually they don't like to write much of anything). PPT memory game (show them a picture for 20 seconds, then hide it and ask them a question about it).
If you have any other such games, I would love to hear about it!