here are my picks:

2000: Dancer In The Dark, directed by Lars Von Trier
Runner-up: Snatch, directed by Guy Ritchie

2001: The Royal Tenenbaums, directed by Wes Anderson
Runner-up: Mulholland Drive, directed by David Lynch

2002: Punch-Drunk Love, directed by Paul Thomas Anderson
Runner-up: City of God, directed by Katia Lund

2003: Oldboy, directed by Chan-wook Park
Runner-up: Finding Nemo, directed by Andrew Stanton

2004: Eternal Sunshine of The Spotless Mind, directed by Micheal Gondry
Runner-up: The Incredibles, directed by Brad Bird
also worth mentioning from 2004 are The Spongebob Squarepants Movie, Shaun of The Dead, The Life Aquatic With Steve Zissou and Kill Bill Volume Two, 2004 was a great year for movies

2005: Capote, directed by Bennet Miller
Runner-up: V For Vendetta, directed by James McTigue

2006: Pan's Labyrinth, directed by Gullimero Del Toro
Runner-up: Paprika, directed by Satoshi Kon
I've only seen the first half hour of Children of Men (had to shut it off due to internet problems) so it doesn't count, but if the rest of the film is anything like the first half hour, it would definitely be the best film of 2006

2007: There Will Be Blood, directed by Paul Thomas Anderson
Runner-up: Hot Fuzz, directed by Edgar Wright
No Country For Old Men is the honorable mention.

2008: WALL-E, directed by Andrew Stanton
Runner-up: Synecdoche, New York, directed by Charlie Kaufman

2009: Fantastic Mr Fox, directed by Wes Anderson
Runner-up: Black Dynamite, directed by Scott Sanders

2010: The Social Network, directed by David Fincher
Runner-up: Scott Pilgrim Vs. The World, directed by Edgar Wright

2011: Drive, directed by Nicholas Winding-Refn
Runner-up: Shame, directed by Steve McQueen

2012: It's Such A Beautiful Day, directed by Don Hertzfeldt
Runner-up: A tie between Moonrise Kingdom, directed by Wes Anderson and The Master directed by Paul Thomas Anderson.

2013: The Hunt, directed by Thomas Vinterberg
Runner-up: Inside Llewyn Davis, directed by The Coen Brothers

2014: A tie between Whiplash by Damien Chazelle and Birdman by Alejandro Gonzalez Innaritu
Runner-up: The Grand Budapest Hotel, directed by Wes Anderson

2015: Mad Max: Fury Road, directed by George Miller
Runner-up: Carol, directed by Todd Haynes

2016: La La Land, directed by Damien Chazelle
Runner-up: The Handmaiden,, directed by Chan-wook Park

the bee movie
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2000: Cast Away, simply brilliant film. Wilson!

2001: Fellowship of the Ring. It isn't one of my favourite films but it seems not many good films were released in 2001.

2002: The Two Towers. See above.

2003: Draw between Pirates of the Caribbean and Return of the King. Return of the King is actually one of my favourite films but so is Pirates of the Caribbean so…

2004: Spider-Man 2. The Terminal gets an honourable mention.

2005: Batman Begins. There were like no other good movies that came out that year.

2006: The Prestige. One of the most thought-provoking movies around.

2007: Ratatouille. Every other movie of that year was awful.

2008: The Dark Knight. Was there ever any doubt?

2009: Sorry, but no winner here.

2010: How To Train Your Dragon. Still one of my favourite movies of all time to this day.

2011: So many good movies here. Tintin, Moneyball (not a baseball fan but still enjoyed this movie) but my winner has to be X-Men First Class. Great movie that one.

2012: Draw between The Avengers and The Dark Knight Rises.

2013: Meh, all of them were bad.

2014: How To Train Your Dragon 2. Like it's predecessor, one of my favourite films of all time. Captain America: The Winter Soldier gets an honourable mention here.

2015: The Martian. That movie was great. Star Wars VII: The Force Awakens gets an honourable mention.

2016: Rogue One. There were a lot of quality movies last year but none I would actually put on my top 10 list if I had to.

So yeah, this took ages to do. Kek.

bump
updated my list