Only the Lonely (1991) [all but #3 added]

1981 Chevy Impala F41 ***
1986 Chevy Caprice **
1980 Chevy (or Ford) Squadrol (paddywagon) ****
1978 Cadillac Sedan DeVille **

FX (1986)

1983 Dodge Diplomat ****
1986 Ford LTD Crown Victoria ****
1983 Plymouth Gran Fury **
1985 Chevy Impala **
1985 Chevy Caprice **

The Hard Way (1991) [movie already completed]

1988 Dodge Diplomat ****
1983 Plymouth Gran Fury ***
1980 Chevy Impala 9C1 **
1983 Ford LTD Crown Victoria ***

The Package (1989)
1981 Chevy Impala F41 ** (Chicago Police)
1986 Chevy Caprice 9C1 *** (US Army vehicle)
1987 Chevy Caprice 9C1 ** (Chicago Police)
1988 Chevy Caprice * (Taxi)
1989 Chevy Caprice 9C1 ** (Illinois State Police)
1981 Dodge Diplomat *** (Used by villains)
1983 Plymouth Gran Fury*** (US Army vehicle)
1988 Ford LTD Crown Victoria ** (taxi)
1988 Olds Delta 88 ****
1983 Chevy Silverado ***

Alien Nation (1988) [done]
1982 Impala F41 ***
1987 Olds Delta 88 ****

Look who's Talking (1989) [done]

1983 Chevy Malibu 9C1 ****
1988 Chevy Caprice *
1983 Dodge Diplomat **
1989 Olds 88 *
Various 1960's GMC TDH New Look buses (5303's) **
1979 Dodge St. Regis *

NWA: 100 Miles N Runnin (1990) Music Video

three 1987 Chevy Caprice 9C1's ***

Eazy E: Eazier said than Dunn (1988) Music video

1988 Ford Aerostar **
1964 Chevy Impala ***
1987 Chevy Caprice **
1988 Mercedes Benz unknown

NWA: Straight Outta Compton (1988) Music Video

1982-1985 Chevy Impala F41 ***
1979-1980 Dodge St. Regis ***

NWA: Alwayz into Something (1991) Music Video

1982 Chevy Impala F41
1991 BMW unknown
1990 Mercedes Benz unknown

Just watched them on YouTube to identify the european cars:
In NWA: Alwayz into Something there's a *** 1989 MB CE AMG [C124], a ** 1989 MB 190E [W201], a ** 1990 BMW 850i [E31] and a * 1988 BMW 5 [E34].
In Eazy E: Eazier said than Dunn it's a ** 1983 MB 190E [W201]