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1. Sky Captain and the World of Tomorrow (2004)
2. Chariots of Fire (1981)
3. Avalon (1990)
4. Local Hero (1983)
5. Inside Out (2015)
6. Dunkirk (2017)
7. Green Card (1990)
8. Silver Streak (1976)
9. Quicksilver (1986)
10. Epic (2013)

Harry and Tonto
La Strada
Nashville
They Shoot Horses, Don't They?
One Flew Over The Cuckoo's Nest
The Battle of Algiers
Buffalo '66
A Woman Under The Influence
Treasure of the Sierra Madre
Network

In chronological order ...
Casablanca (1942)
Forbidden Planet (1956)
The Apartment (1960)
The Guns of Navarone (1961)
To Kill a Mockingbird (1962)
A Thousand Clowns (1965)
Jeremiah Johnson (1972)
Excalibur (1981)
Local Hero (1983)
The Last of the Mohicans (1992)
and yes, I do own all of these on Blu-ray

Who's Afraid of Virginia Woolf?
Blade Runner (1982)
Invaders from Mars (1953)
Creation of the Humanoids
Pink Flamingos
Faster Pussycat Kill! Kill!
Forbidden Planet
Bully
Blue Velvet
Eraserhead

...off the top of my head:

The Science Of Sleep
Leon
Big Fish
Hot Fuzz
A Lot Like Love
The Invisible (2007 remake)
Midnight In Paris
Daydream Nation
Coraline
Den Brysomme mannen

I'm sure I've left out a few. I also love many of Jim Carrey's movies (Liar Liar, Ace Ventura 2, Truman Show, The Grinch), but I think none of them would make the TOP10.