Lukaszczar,
To emulate this flyover effect in CityEngine, use the keyboard shortcuts for the bookmarked camera positions. The star-shaped icon on the viewport window has the bookmark controls. In there you can see that the number-pad keys are used as shortcuts to the camera bookmarks. You can sequentially hit each of these keys to move through the bookmarks, which is essentially what the "play" function in the web scene is doing. If it flies too fast or too slow, then under Edit>Preferences>General>Viewport, there is an Animation Time, that you can adjust (500ms = 0.5 seconds). To capture the flythrough, try Camtasia or another screen capture software, and make sure to use powerful machine to make video capture best possible.
Does this help?
Chris