You dont say if you want to "record and watch" videos, or just watch existing videos.
As has been said, there is nothing to stop you watching any pre-existing video after the switch over.
However if you want to record new videos you may have a problem.
The thing is inside each video recorder is a TV tuner, and this will almost certainly be analogue. When you recorded a video BEFORE the digital switch over you were using the tuner inside the video recorder.
But after the digital switch over the TV tuner inside your video will not pick up any TV signal so you cant record using that tuner.
There are ways of connecting a video up so it can record from an external source, but you cant record a video using the TV tuner inside the video recorder.