Vector Asset Creator is an an Android application (Play Store) which allows to create vectorial graphics using Bezier curves.
You start by using basic curves as those shown below:
The interface lets you control any point of the curves using your finger with high accuracy.
You can concatenate as many curves as you want in order to create more complex objects.
Properties such as color, stroke color, stroke width, transparency, etc. can be freely customized.
Likewise, objects can be duplicated, scaled, rotated, grouped, etc.
Once you have created you awesome drawing, your can export it as .svg .xml .png or .jpg file.
The app allows you to save your work as projects. These projects are saved locally in your device. If you uninstall the app or change your phone, these data will be lost. Optionally, you can backup your projects in the cloud using your Google Drive account. To do this, from the lateral menu, click on "backup". For this operation to be completed, you'll have to grant permissions to access to app data storage in Google Drive. Once your projects have been backuped, you can restore them later whenever you want and in any Android device you want.
All the permissions used by the app as well as the information collected by the app and how it's treated is thoroughly described here.