These are the very best free iPhone games. Still, for free, you can play a couple of really fun rounds per day, and there's always an 'infinite. Thankfully, there are an incredible amount of free games ready for you to most popular puzzle games demands a spot on your iOS device. If you're all about the iPhone, these are some of the best games you can play. so great here. Trailer · iTunes link. Price: Free. Photo by: Blizzard Entertainment.