All of the Jewish publishers havemany apps and programs, but Behrman house has the best. Here are the iPhone and iPad games for students, and I have them all. Scroll through the adult stuff and the fun ones will appear near bottom.
a new food-sorting game for Passover, with a truck theme. And an entire haggadah (with sounds and sound effects) for the iPad. Add Little Scribes and Mash Passover for the little ones. There's also a Mitzvah Match app which kids of many ages may enjoy.
Looking for something to teach basic Hebrew and simple prayers? Start with these from Behrman House. They also have full versions for the computer.
Babaganewz has great online resources, offline and online games for Jewish kids from the tweens until high school, but I haven't yet seen anything there for smart phones.They also have craft and recipe ideas and a focus on values.
TorahAura has a great selection of non-technological Jewish fun activities for kids, in case you decide that you need to see your own phone or computer even while the kids are awake.
Morim has lots of online practice for Torah stories and simple Hebrew vocabulary, and the kids seem to like the activities.
Alef Bet Schoolhouse teaches the Hebrew alphabet with with sound, color, animation and fun!