Adam Patterson has a new tutorial out showing you how to use Lumen as a front-end to WordPress.
At work I needed a fast and flexible way to present structured data that can be consumed by Python. This was done using WordPress leveraging Custom Post types and Advanced Custom Fields.
Simply put. WordPress is the admin interface.
Adam goes through disabling the WordPress front-end, setting up Lumen to read from WordPress, and finally querying posts and extra fields.
If you prefer to instead use Laravel check out the WordPress and Laravel resource list. It includes many packages and ideas for integrating the two.