A noun phrase is, typically, an album or book title or a newspaper headline. Essentially it is a phrase developed around a noun, so that the head word is premodified by adjectives and post qualified by adjectives and other elements.
Most important of all, a noun phrase does not have a verb.

A Times correspondent gives the newspaper headline example:

Bournemouth Cliff Death Leap Inquest Verdict Sensation

Looking at my bookshelves at random I find the following noun phrases:

three men in a boat
girl with a pearl earring
king of the cloud forests
green dolphin street
pocket oxford dictionary

And here's one I found earlier:

1. What's the headword for the first line?
2. What's the headword for the first two lines if you take Pay and Display to be an imperative verb phrase and the rest as a noun phrase?
3. What's the headword when you take all of the first three lines as being a single noun phrase?