As always, in no particular order:

The Age of Innocence

Tombstone (it's the only 'western' I like)

The Secret Garden

In the Name of the Father

The Remains of the Day

Much Ado About Nothing

The Wedding Banquet

The Story of Qiu Ju

Three Colours: Blue

Map of the Human Heart

Ba wang bie ji

These get a big honorable mention:

Hot Shots! Part Deux

Cool Runnings

Robin Hood: Men in Tights

Into the West

Dave

The Snapper

Mrs. Doubtfire

Godzilla vs. Mechagodzilla II

1. The Remains of the Day (James Ivory)
2. What's Eating Gilbert Grape (Lasse Hallström)
3. Arizona Dream (Emir Kusturica)
4. Red Rock West (John Dahl)
5. Manhattan Murder Mystery (Woody Allen)
6. Guilty as Sin (Sidney Lumet)
7. The House of the Spirits (Bille August)
8. In the Line of Fire (Wolfgang Petersen)
9. Kika (Pedro Almodóvar)
10. Point of No Return (John Badham)

1. Groundhog Day
2. Carlito's Way
3. Demolition Man
4. Falling Down
5. True Romance
6. Short Cuts
7. This Boy's Life
8. Red Rock West
9. What's Eating Gilbert Grape
10. Hard Target (What can I say? I was a huge John Woo fan)

This is getting harder. Most films from this era I haven't seen since I was very young.

@mr_blond said:

1. The Remains of the Day (James Ivory)

Haha, I just pictured Michael Madsen's Mr Blonde watching Remains of the Day.

• Carlito's Way
• True Romance
• Dazed and Confused
• Return of the Living Dead III
• So I Married an Axe Murderer
• Wayne's World 2
• Cliffhanger
• Demolition Man
• Grumpy Old Men

@bluersun said:

• Grumpy Old Men

I nearly put Grumpy Old Men in my list. I remember it being very funny. But I haven't seen it since I was wee. I need to nostalgiarize.