There are quite a lot of Daily Office apps, quite a few of them using the Roman Catholic Missal, and a few from Protestant sources.
I personally like, and have used, two:
Common Prayer is a daily devotional app by Shane Claiborne and Jonathan Wilson-Hartgrove. It comes out of the New Monastic movement in the USA, is brief and to the point and is heavily grounded in our social responsibility as Christians. My major criticism is that it is very USA-centric in many of its choices of events and readings, making it less personal for the rest of us, but it is nevertheless a great app. It is available as a universal paid-for iWorld app.
Common Prayer: A browser for the Church of England Daily Prayer feed is free (unlike the official Church of England app). It is a wonderfully simple universal app, enabling you to pray Morning, Evening and Night Prayer in a traditional or contemporary format. The Lectionary readings for the day are also embedded in the day’s prayers, making it a versatile and handy app.