You may not see the app live on the Google Play Store but Sony Mobile has been working on an Xperia Calendar. It was sighted recently but is no longer available upon checking. The calendar app is another productivity tool that will hopefully make you more efficient in keeping your schedule, events, and tasks. App features simple maps and LinkedIn integration as well.
Not much details have been shared but the XPERIA blog managed to get some photos or screenshots of the app in action. We're assuming this is still in beta and that some issues and errors are still being fixed. You can wait for the official app to be released on the Play Store or you may download the APK from APKMirror.
Meanwhile, there's also the Sony Weather app that was pulled out from the Play Store. Several changes and new features on the app can be noted. Check the app if you want to know the perceived temperature, wind formation, wind, humidity, high and low temperature for your current location, easy set up/swipe between different locations.
Both Calendar and Weather apps can't be found yet on the Play Store but we're sure they will be available on public release soon.