# on type III factor

The crossed product of group $\mathbb{R}$ of real numbers with type $II_{\infty}$ is type $III$ factor when the action of $\mathbb{R}$ on von Neumann algebra of type $III$ factor is ergodic and free. This example I know. Can you give some example of type $III$ factors not coming from a crossed product? I want the typical constructive example.