The Galileo Probe did not include any imaging equipment to return images or video as it descended into Jupiter's atmosphere. Are there missions underway or planned that will include visual data transmitted during a descent into the atmosphere of Jupiter or any other gas giant?
As noted, there are no planned gas giant probes at the moment, at least not beyond an unfunded conceptual stage.
Images taken on approach and just before entry would be pretty cool and might even have some science value to provide weather context for the entry location. However you would need a much higher rate telecom system than what the probe itself would have. Such probes are designed to return data down to several bars pressure, where the data rates through the atmosphere are highly constrained. I could imagine a separate imaging stage for this purpose that is discarded just before entry, or that approaches in parallel with the probe with its own high-rate relay radio.
There's not much point in images during or after entry. They wouldn't see anything, other than radiation from the entry plume, and after that completely uniform nothingness.
The closest thing is the joint NASA/ESA Titan Saturn System Mission, which is still at the proposal stage. This will explore Titan's atmosphere. The Titan Mare Explorer lander will include cameras that would work during the descent.