Unfortunately, the full System.Data namespace is not available for newer Windows Phone applications other than Silverlight. This is because SQL CE was not available for Windows Runtime. Therefore, we must find our own database implementation for storing structured data locally on the phone.
SQLite is highly recommended as an alternative. It should be possible to use it like SQL CE, including using LINQ syntax.
Alternatively, you can create a “Windows Silver Silver 8.1 Application”. Silverlight runtime is still available for Windows Phone 8.1, and SQL CE is still available in Silverlight. We simply cannot be 100% sure that Silverlight will be supported on Windows Phone 8.2 / 8.3 / 9.0 / ...