Into Infinity, also known as The Day After Tomorrow (1976), a British TV special?
Apart from it being made in the 70s, the Wikipedia summary seems to match your description:
A fail-safe brings the vessel, now powerless, to a halt within the gravitational field of a red giant on the brink of supernova. Donning a heat suit, Captain Masters risks his life by entering the reactor core in a bid to repair the drive. He succeeds, and Anna and Jane pilot the ship outside the blast radius of the star before it explodes.
Detecting a signal from Delta, which has taken the equivalent of 15 Earth years to reach them, the travellers are able to plot their position and lay in a course home. However, disaster strikes when Altares is caught in the gravity of a black hole that has formed from a collapsed star. [...]
Her theory is proven correct when, sustaining the various space-time distortions at the event horizon, Altares safely emerges from the black hole – intact, albeit with no way of returning to Earth. As the vessel and its intrepid crew approach a planet, the narrator concludes, "One thing is sure – this is not the final word. Not the end, but the beginning. A new universe, a new hope? Only time will tell."
It's on YouTube. Not sure what you mean by "star filters" but the last couple of shots does have some generic-looking star shots:
Found with the Google query
movie "red giant" "black hole" site:imdb.com/title which returned this summary.