Well, as has been said, Russian spies do exist here, granted not to set off WWIII (or are they? o.0) and Russia itself still has some... moral ambiguity. Yeah, it's done to death, but does it work? yes, somewhat sadly, yes. Granted, their presid... er, prime minister, used to be a spy and there was the whole polonium 210 incident.
Big corporations are another possible spy source (see: Inception, the Saint, the International, etc. etc.) but big corporations don't tend to like making movies about big evil corporations (short of veiled versions of their competitors), and have a fair say over their investments. So we're left with SPECTER, HARM, and Starbucks.
As for Russian movies from the USSR period, Tarkovsky flicks like STALKER and Solaris were exceptions to the rule, not the basis of it. They pissed off the government a fair deal really, dealing with existentialism, sadness of poverty, religion, and other taboos. They had to shoot most of STALKER twice because the film was destroyed during development, which resulted in Tarkovsky's death through cancer that developed largely as a result of his environmental exposure to pollutants in the areas where he filmed for an over extended amount of time. Most USSR flicks that weren't by Tarkovsky weren't nearly as memorable because they were basic propaganda reels.
Arab villains at this time would be largely considered politically incorrect.