I'm assuming you mean Hollywood or Western movies?

The closest thing I'm aware of is the little disclaimer text at the beginning of The Hunt for Red October about it being set before Gorbachev becoming General Secretary.

Even before the fall of the USSR, and even technically before the more-or-less official end of the Cold War in 1989, there was a big thaw in US-Soviet relations, largely connected to Gorbachev's glasnost, as well as his summits with Reagan and the resultant "Gorbymania" in Western media.

So by the late 80s there began to be more movies about Soviets-as-people and Soviet and American characters coming to terms with each other, some examples of this being Russkies (1987), and Red Heat (1988). The latter I have watched completely dubbed in Russian on Russian tv (part of the movie was filmed in Russian): Schwarzenegger is very popular in the former Soviet Union and presumably him playing a Soviet police officer was just adding a cherry on top.

Anyway the shift in cinematic tone between pre-Gorbachev and the Gorbachev era really cannot be emphasized enough, especially as the US was producing very pointed Cold War films like Red Dawn (1984) or Rocky IV (1985) just a few years before the shift.