Well, Sacred Space isn't an App (yet--I can still hope). It is a unique online prayer resource produced by the Irish Jesuits. www.sacredspace.ie is the website. I haven't seen anything else like it. It leads the reader through prayer, eventually reading the Gospel of the day, and reflection on it. The structure of it would definitely lend itself to an App--perhaps the Jesuits will produce one eventually.
I've known about Sacred Space for years, but hadn't visited recently until my husband started placing me in front of the computer to read a particular reflection from the site, I think last week (the beginning reflection changes weekly, from what I gather). I think it's his gentle way of inviting me to incorporate more contemplative prayer into my life. The whole prayer experience with Sacred Space is incredibly soothing, definitely worth a look, and a return visit. Give it a try!