Besides Gerber 274 and NC, you can export X2 which is an advanced, more intelligent form of Gerber. You can output a variety of reports, as well as creating further report formats using Report Maker.
The standard output of ODB++, which is a comprehensive CAD-to-CAM data exchange format, is often used by customers in conjunction with Gerber/NC or on its own, to provide manufacturing houses the data they require.
Other outputs such as GenCAD are also available.
The stack-up can include materials specification. Part and Footprint definition, as well as orientation/side data, along with Testpoint locations. This level of data is supplied by the outputs mentioned.