When I saw the word "games" as one of the mobile things, I immediately thought of one of my favorite game apps, Quiz Up. Quiz Up is very similar to trivial pursuit, but on a larger, interactive scale. Players have the option of choosing from over 500 topics ranging from general (geography) to the more specific (Harry Potter). Players can challenge friends who play, or pick a topic and allow the app to randomly find a partner. Players receive points with correct answers, but faster correct answers gain even higher points. After a certain number of levels, players earn a "title" from that topic. For example, I am "Sunshine" after playing enough games of U.S. states.
Obviously I use this on a personal level, but with a few tweaks, I think this could work within a classroom setting as well. This would also be a way to incorporate BYOD in an engaging manner. If treated as a special treat, or free time option, and students were to only challenge each other, not play random partners, I think it could work. There would have to be a certain amount of trust between students and instructor, so it might work best at a high school level.