By the behaviour you are describing you are not watching a recording, but viewing On Demand programmes via the BBC iPlayer app. When an episode is ending they are offering you the next programme in the series you are watching.
There is no way of turning this off. The functionality of the iPlayer app is the BBCs responsibility & is standard. So whether you view programmes on a Virgin box, directly on a TV or on a mobile device, the iPlayer apps will still behave in this way.
VM BB TV Landline. Vonage 2nd line. Freeview/Freesat HD, ASDA/Tesco PAYG Mobile. Customer since 1993
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