If you want to know more about the neural network stuff specifically there is a gallery of marketing examples at http://www.wolfram.com/language/11/neural-networks/?product=... and quite a few examples at http://reference.wolfram.com/language/ref/NetTrain.html (look under Applications near the bottom of the page).
The current selection of layers is biased a bit towards vision, but my colleague and I are working on recurrent networks as we speak, which will unlock networks that operate on text, audio, and other data of a sequential or temporal character. Hopefully that will land in a few months with 11.1.