Since your profile doesn't mention it I'm going to assume you are somewhere in the United States and seeking suggestions for R1 DVDs, yeah? If not we may have to adjust some of these depending on availability.
Actually, check that. I see you have the excellent
Brighton Rock on your list, which must mean you're a R2er because I know it isn't yet released in Region 1 (I own it as part of the R2 Graham Greene boxed set). OK, so, let's see...
I like movies based on books or plays (especially plays)
Educating Rita, Sweet Bird of Youth, Cat On A Hot Tin Roof, A Streetcar Named Desire, Night of the Iguana, Vanity Fair, Brighton Rock
Alrighty. Given that I'll start with plays and I'd steer you toward
Who's Afraid of Virginia Woolf? (1966 - Mike Nichols),
Amadeus (1984 - Milos Forman),
A Soldier's Story (1984 - Norman Jewison),
Death of a Salesman (1985 - Volker Schlöndorff),
Long Day's Journey Into Night (1962 - Sidney Lumet),
A Man for All Seasons (1966 - Fred Zinnemann),
The Lion in Winter (1968 - Anthony Harvey),
Miss Julie (1951 & 1999),
The Browning Version (1951 & 1994),
The Winslow Boy (1948 & 1999),
Inherit the Wind (1960 - Stanley Kramer),
Glengarry Glen Ross (1992 - James Foley),
The Iceman Cometh (1973 - John Frankenheimer),
Butley (1974 - Harold Pinter),
The Philadelphia Story (1940 - George Cukor) and
Harvey (1950 - Henry Koster).
And that's without getting into Shakespeare, Neil Simon or Musicals, just trying to give you some greats adapted from 20th Century drama (mostly).
And since you enjoy adaptations of the theatre, also check out some of the stories set in the behind-the-scenes world of hot lights and greasepaint such as
The Dresser (1983 - Peter Yates),
All About Eve (1950 - Joseph L. Mankiewicz),
The Producers (1968 & 2005),
To Be or Not to Be (1942 - Ernst Lubitsch),
The Entertainer (1960 - Tony Richardson),
Waiting for Guffman (1996 - Christopher Guest),
Bullets Over Broadway (1994 - Woody Allen),
Noises Off... (1992 - Peter Bogdanovich),
The Tall Guy (1989 - Mel Smith),
The Sunshine Boys (1975 - Herbert Ross),
The Country Girl (1954 - George Seaton),
Being Julia (2004 - István Szabó),
Vanya on 42nd Street (1994 - Louis Malle) and the documentaries
This So-Called Disaster (2003 - Michael Almereyda) and
Life After Tomorrow (2006). Also a must-see Canadian television series from this new century is
"Slings & Arrows" (three seasons, 2003-2006).
Originally Posted by TheGirlWhoHadAllTheLuck
- I like romantic films, but not really 'chick-flicks'
Looks like you don't own any for examples, but a few I'd recommend off the bat are
Truly Madly Deeply (1991 - Anthony Minghella),
Casablanca (1942 - Michael Curtiz),
Notorious (1946 - Alfred Hitchcock),
Amélie (2001 - Jean-Pierre Jeunet),
The Bridges of Madison County (1995 - Clint Eastwood) and
Two for the Road (1966 – Stanley Donan). Also check out
THIS THREAD and
THIS THREAD that already exist on the subject of romantic flicks.
That should get you started