Don't worry, your not imagining this!
There's nothing inherantly wrong with your screen, the problem you describe is a well known manifestation of poorly coded material, clearly seen in SD broadcasts and DVDs sourced from dubious analogue masters.
You will notice that it's not usually present when watching BluRay discs or HD TV as the bitrate is much higher so there is no need for such drastic data compression tecniques with these formats.
Here comes the really oversimplified science bit.
Technically speaking, the "floating scenery" artifacts are due to the way the original source material is encoded.
To save space, only key frames are fully encoded, then after that, only the differences between the last key frame and the next frame are saved, and subesquently decoded by your TV or disc player.
Lower bit rates mean less information is available to handle the changes effectively.
To be more efficient in TV broadcasting, the rate at which the material is encoded is variable, so for example a sports event will demand much more data to look smooth than, say, a shopping channel where there is little or no fast moving "action" taking place.
I remember years ago that the trend for DVD releases was to pack as much extra material on the disc as possible to increase the "value for money" rating, however the quality of the film tended to suffer.
Then the film companies stared to re-release the same film in a higher bitrate by stripping all the extras, thereby creating more space for the film data, and calling it "SuperBit Edition" (what a scam!).
These artifacts are now almost history, thanks to the extended capacity of BluRay discs and HD television transmissions.