There are lots of primarily live-action movies these days that incorporate some degree of computer animation, which may or may not be noticeable, and may or may not be of particular importance to the plot or overall look of the movie. I'm not even going to try to list every such movie, but I do at least want to list movies where CGI elements (including characters, backgrounds, etc.) are quite obvious and important.

Note: right now I'm listing (almost) any movies I've seen or want to see that are on Wikipedia's lists (as long as they're mostly live-action). When I have more time/inclination, I want to go through the list and mention specific CGI elements in each film. I may also remove some films from the list if they don't meet my own standards of "important" elements, as well as potentially adding films that aren't on Wikipedia's list. Edit: Since I first started this page, the Wikipedia lists I referenced have been deleted, much to my dismay.

The Abyss
Alice in Wonderland (2010) (and sequel)
Alien Resurrection
Aliens in the Attic
Alita: Battle Angel
The Amazing Spider-Man
Ant-Man (and sequels)
Arthur 3: The War of Two Worlds (first of the trilogy where the LA and CGI were integrated)
Avatar
The Avengers (and sequels)
A Babysitter's Guide to Monster Hunting
Beauty and the Beast (2017)
Ben 10: Alien Swarm (TV movie)
Ben 10: Race Against Time (TV movie)
The BFG
Blade Runner 2049
The Boy Who Cried Werewolf (TV movie)
Captain America: The First Avenger (and sequels)
Casper (and sequels)
The Cat in the Hat
Chappie
Charlotte's Web
The Dark Knight
The Day the Earth Stood Still (2008)
Deadpool (and sequel)
Deep Rising
District 9
Doctor Strange
Dora and the Lost City of Gold
Dumbo (2019)
Elf
Elysium
The Fifth Element
Godzilla (1998)
Godzilla (2014)
Goosebumps (and sequel)
Green Lantern
Guardians of the Galaxy (and sequels)
Hellboy (2019)
The Hobbit (all the films)
Hop
Hulk (2003)
I Am Number Four
I, Robot
The Incredible Hulk
Iron Man (and sequels)
Jack the Giant Slayer
Jumanji (and sequels)
The Jungle Book (2016)
Jurassic Park (and sequels)
King Kong (2005)
The Last Airbender
The Little Mermaid (2023)
The Lord of the Rings (all the films)
Maleficent
Mars Attacks!
Miss Peregrine's Home for Peculiar Children
A Monster Calls
Monster Trucks
The Mummy (and sequels)
The Nutcracker and the Four Realms
Odd Thomas
Oz the Great and Powerful
Pacific Rim (and sequel)
Paddington (and sequel)
Pan
Paul
Pete's Dragon (2016)
Pinocchio
Pirates of the Caribbean (all the films)
Pixels
Pokemon Detective Pikachu
R.I.P.D.
Scooby-Doo (and sequel)
Shang-Chi and the Legend of the Ten Rings
Sharknado (TV movies)
Signs
Snow White
Sonic the Hedgehog (and sequels)
Speed Racer
Spider-Man (and sequels)
The Spiderwick Chronicles
Spy Kids 3: Game Over
Star Wars (all the modern movies)
Ted (and sequel)
Terminator 2 (and sequels)
Thor (and sequels)
Transformers (and sequels)
Tron: Legacy
Valerian and the City of a Thousand Planets
Venom
Watchmen
A Wrinkle in Time
Zathura