My personal favourites (In no particular order)

Title says it all, these are my personal picks. If you disagree, that's fine, if you want to explain why please do so in a mature and rational manner, thank you! ^_^

Also I admit I haven't seen as many films as I would have liked to as my career as a film buff is still in its really early stages, I still haven't seen a few of the everybody-and-their-grandmother-has-seen-this-film-whether-they-like-it-or-not films, so for that I apologise.

One or two picks are due entirely to me being a complete nerd for the topic in question (See if you can spot them)
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1.
A Clockwork Orange (1971)
    1 2 3 4 5 6 7 8 9 10 8.4/10 X  
In future Britain, charismatic delinquent Alex DeLarge is jailed and volunteers for an experimental aversion therapy developed by the government in an effort to solve society's crime problem - but not all goes according to plan. (136 mins.)
Director: Stanley Kubrick
 
2.
Blade Runner (1982)
    1 2 3 4 5 6 7 8 9 10 8.2/10 X  
A blade runner must pursue and try to terminate four replicants who stole a ship in space and have returned to Earth to find their creator. (117 mins.)
Director: Ridley Scott
 
3.
House (1977)
    1 2 3 4 5 6 7 8 9 10 7.3/10 X  
A schoolgirl and six of her classmates travel to her aunt's country home, which tries to devour the girls in bizarre ways. (88 mins.)
 
4.
Alien (1979)
    1 2 3 4 5 6 7 8 9 10 8.5/10 X  
After a space merchant vessel perceives an unknown transmission as distress call, their landing on the source moon finds one of the crew attacked by a mysterious lifeform. Continuing their journey back to Earth with the attacked crew having recovered and the critter deceased, they soon realize that its life cycle has merely begun. (117 mins.)
Director: Ridley Scott
 
5.
The Darjeeling Limited (2007)
    1 2 3 4 5 6 7 8 9 10 7.2/10 X  
A year after their father's funeral, three brothers travel across India by train in an attempt to bond with each other. (91 mins.)
Director: Wes Anderson
 
6.
Scott Pilgrim vs. the World (2010)
    1 2 3 4 5 6 7 8 9 10 7.5/10 X  
Scott Pilgrim must defeat his new girlfriend's seven evil exes in order to win her heart. (112 mins.)
Director: Edgar Wright
 
7.
Rear Window (1954)
    1 2 3 4 5 6 7 8 9 10 8.5/10 X  
A wheelchair-bound photographer spies on his neighbours from his apartment window and becomes convinced one of them has committed murder. (112 mins.)
 
8.
Psycho (1960)
    1 2 3 4 5 6 7 8 9 10 8.5/10 X  
A Phoenix secretary steals $40,000 from her employer's client, goes on the run and checks into a remote motel run by a young man under the domination of his mother. (109 mins.)
 
9.
Blue Velvet (1986)
    1 2 3 4 5 6 7 8 9 10 7.8/10 X  
The discovery of a severed human ear found in a field leads a young man on an investigation related to a beautiful, mysterious nightclub singer and a group of psychopathic criminals who have kidnapped her child. (120 mins.)
Director: David Lynch
 
10.
Amélie (2001)
    1 2 3 4 5 6 7 8 9 10 8.4/10 X  
Amélie is an innocent and naive girl in Paris with her own sense of justice. She decides to help those around her and, along the way, discovers love. (122 mins.)
 
11.
Kill Bill: Vol. 1 (2003)
    1 2 3 4 5 6 7 8 9 10 8.1/10 X  
The Bride wakens from a four-year coma. The child she carried in her womb is gone. Now she must wreak vengeance on the team of assassins who betrayed her - a team she was once part of. (111 mins.)
 
12.
Pulp Fiction (1994)
    1 2 3 4 5 6 7 8 9 10 8.9/10 X  
The lives of two mob hit men, a boxer, a gangster's wife, and a pair of diner bandits intertwine in four tales of violence and redemption. (154 mins.)
 
13.
Brazil (1985)
    1 2 3 4 5 6 7 8 9 10 8.0/10 X  
A bureaucrat in a retro-future world tries to correct an administrative error and himself becomes an enemy of the state. (132 mins.)
Director: Terry Gilliam
 
14.
O Brother, Where Art Thou? (2000)
    1 2 3 4 5 6 7 8 9 10 7.8/10 X  
In the deep south during the 1930s, three escaped convicts search for hidden treasure while a relentless lawman pursues them. (107 mins.)
Director: Joel Coen
 
15.
The Big Lebowski (1998)
    1 2 3 4 5 6 7 8 9 10 8.2/10 X  
"The Dude" Lebowski, mistaken for a millionaire Lebowski, seeks restitution for his ruined rug and enlists his bowling buddies to help get it. (117 mins.)
Director: Joel Coen
 
16.
The Shining (1980)
    1 2 3 4 5 6 7 8 9 10 8.4/10 X  
A family heads to an isolated hotel for the winter where an evil and spiritual presence influences the father into violence, while his psychic son sees horrific forebodings from the past and of the future. (146 mins.)
Director: Stanley Kubrick
 
17.
Ghost World (2001)
    1 2 3 4 5 6 7 8 9 10 7.4/10 X  
With only the plan of moving in together after high school, two unusually devious friends seek direction in life. As a mere gag, they respond to a man's newspaper ad for a date, only to find it will greatly complicate their lives. (111 mins.)
Director: Terry Zwigoff
 
18.
The Fly (1986)
    1 2 3 4 5 6 7 8 9 10 7.5/10 X  
A brilliant but eccentric scientist begins to transform into a giant man/fly hybrid after one of his experiments goes horribly wrong. (96 mins.)
 
19.
Reservoir Dogs (1992)
    1 2 3 4 5 6 7 8 9 10 8.4/10 X  
After a simple jewelry heist goes terribly wrong, the surviving criminals begin to suspect that one of them is a police informant. (99 mins.)
 
20.
2001: A Space Odyssey (1968)
    1 2 3 4 5 6 7 8 9 10 8.3/10 X  
Humanity finds a mysterious, obviously artificial object buried beneath the Lunar surface and, with the intelligent computer H.A.L. 9000, sets off on a quest. (149 mins.)
Director: Stanley Kubrick
 
21.
Sherlock Holmes (2009)
    1 2 3 4 5 6 7 8 9 10 7.6/10 X  
Detective Sherlock Holmes and his stalwart partner Watson engage in a battle of wits and brawn with a nemesis whose plot is a threat to all of England. (128 mins.)
Director: Guy Ritchie
 
22.
Star Trek II: The Wrath of Khan (1982)
    1 2 3 4 5 6 7 8 9 10 7.7/10 X  
With the assistance of the Enterprise crew, Admiral Kirk must stop an old nemesis, Khan Noonien Singh, from using the life-generating Genesis Device as the ultimate weapon. (113 mins.)
Director: Nicholas Meyer
 
23.
Princess Mononoke (1997)
    1 2 3 4 5 6 7 8 9 10 8.4/10 X  
On a journey to find the cure for a Tatarigami's curse, Ashitaka finds himself in the middle of a war between the forest gods and Tatara, a mining colony. In this quest he also meets San, the Mononoke Hime. (134 mins.)
Director: Hayao Miyazaki