I have seen...

1933 - King Kong
1944 - Going My Way
1969 - Butch Cassidy and the Sundance Kid
1972 - The Godfather
1973 - The Exorcist
1974 - Blazing Saddles
1975 - Jaws
1976 - Rocky
1977 - Star Wars
1978 - Grease
1980 - The Empire Strikes Back
1981 - Raiders of the Lost Ark
1982 - E.T: The Extra-Terrestrial
1983 - Return of the Jedi
1984 - Ghostbusters
1985 - Back to the Future
1986 - Top Gun

And everything after 1988 (including Rain Man).

So 43.