One free Bible verse application for Apple iPhone users is the "Verse-A-Day: Daily Bible Verses" app by iDelata, located in the iPhone App Store. For Android users the "Daily Bible Verse" by Adepture or "Bible Verses" by Droid Experiment apps may be downloaded from the Google Play Store.
Each of the applications are highly-rated by thousands of users within their own particular stores. While all are completely free, some may offer extra features -such as removal of ads- for a small fee. Additional apps may be located by entering the search phrase "Bible verses" in the iPhone App Store or Google Play.