I collected over 15 lists of the Best Movies/Films of 2021 from the Internet, magazines and newspapers and combined them into one meta-list. Here are the results: all the movies on three or more of the original source lists, organized by rank (that is, with the movies on the most lists at the top).
PLEASE NOTE: These are not my personal opinions. I have not seen all these movies. But if I have seen a film, I have included my 1-10 rating.
On 15 lists
Licorice Pizza (US, Paul Thomas Anderson)
On 14 lists
Drive My Car (Japan, Hamaguchi Ryūsuke)
On 13 lists
The Power of the Dog (UK/US/New Zealand, Jane Campion) (9/10)
On 12 lists
Dune (US, Denis Villeneuve)
The Souvenir Part II (UK, Joanna Hogg)
On 10 lists
The French Dispatch (US, Wes Anderson)
Summer of Soul (US, Ahmir Khalib Thompson)
The Worst Person in the World (Norway, Joachim Trier)
Petite Maman (France, Céline Sciamma)
On 9 lists
The Velvet Underground (US, Todd Haynes)
The Card Counter (US, Paul Schrader)
Annette (France, Leos Carax)
The Green Knight (US/Canada, David Lowery)
The Lost Daughter (US, Maggie Gyllenhaal) (9/10)
On 8 lists
Passing (US, Rebecca Hall)
Memoria (Thailand, Apichatpong Weerasethakul)
Red Rocket (US, Sean Baker)
On 7 lists
Pig (US, Michael Sarnoski)
Zola (US, Janicza Bravo)
Titane (France, Julia Ducournau)
Bergman Island (France/Sweden, Mia Hansen-Løve)
Flee (Denmark, Jonas Peter Rasmussen)
On 6 lists
The Hand of God (Italy, Paolo Sorrentino) (9/10)
On 5 lists
Shiva Baby (US, Emma Seligman)
Procession (US, Robert Greene)
The Disciple (India, Chaitanya Tamhane)
Azor (Switzerland/Argentina, Andreas Fontana)
C’mon C’mon (US, Mike Mills)
Benedetta (France, Paul Verhoeven)
On 4 lists
Quo Vadis, Aida? (Bosnia and Herzegovina, Jasmila Žbanić)
Limbo (UK, Ben Sharrock)
Censor (UK, Prano Bailey-Bond)
Spencer (UK/Germany/Chile, Pablo Larraín)
Wheel of Fortune and Fantasy (Japan, Hamaguchi Ryūsuke)
The Killing of Two Lovers (US, Robert Machoian)
State Funeral (Russia, Sergei Loznitsa)
About Endlessness (Sweden/Germany/Norway, Roy Andersson)
The Tragedy of Macbeth (US, Joel Cohen)
Identifying Features (Mexico/Spain, Fernanda Valadez)
Parallel Mothers (Spain, Pedro Almodóvar)
In the Same Breath (US, Nanfu Wang)
Undine (Germany, Christian Petzold)
Bad Luck Banging or Loony Porn (Romania, Radu Jude)
All Light, Everywhere (US, Theo Anthony)
Barb & Star Go To Vista Del Mar (US, Josh Greenbaum)
The Humans (US, Stephen Karam) (8/10)
House of Gucci (US, Ridley Scott)
El Planeta (US/Spain, Amalia Ulman)
The Mitchells vs. the Machines (US, Mike Rianda)
On 3 lists
Cry Macho (US, Clint Eastwood)
Last Night in Soho (UK, Edgar Wright)
The Woman Who Ran (South Korea, Hong Sang-soo)
A Cop Movie (Mexico, Alonso Ruizpalacios)
The First Wave (US, Matthew Heineman)
Sabaya (Sweden, Hogir Hirori)
Mass (US, Fran Kranz)
France (France/Italy/Germany/Belgium, Bruno Dumont)
The Truffle Hunters (US/Greece/Italy, Michael Dweck & Gregory Kershaw)
The Beatles: Get Back (UK/NZ/US, Peter Jackson)
West Side Story (US, Steven Spielberg)
The World to Come (US, Mona Fastvold)
No Time to Die (UK/US, Cary Joji Fukunaga)
Belfast (Ireland/UK, Kenneth Branagh)