In Silver Linings Playbook, Pat wants Veronica to play "Ride the Lightning"... in the baby's room.
"Four Horsemen" plays when Archangel is "born" in X-Men: Apocalypse.
"For Whom The Bell Tolls" is used in the opening title sequence of Zombieland which shows the Zombie Apocalypse breaking out, and Zombieland: Double Tap follows suit by having "Master of Puppets" during the opening credits.
Barbie (2023): Beach Ken's outfit once he establishes the patriarchy in Barbieland features black pants with his name styled in the font of Metallica's logo. The name also appears like that as a sticker on the acoustic guitar he acquires.
Gilmore Girls: In the first season episode "Christopher Returns", Lorelai and Christopher get into an argument over who's better, Metallica or The Offspring, when she's trying to prove Christopher isn't mature enough for them to have a real relationship together.
Hi-Fi RUSH: The tag on 808's collar is the kanji character for "hibiki" stylized to resemble Metallica's logo.
Live A Live: One of Mad Dog's moves is called "Ride the Lighting".
Splatoon 2: Mitsuhiro Kida's name in the end credits is stylized similarly to the Metallica logo.
One of the Stop Poking Me! quotes in Warcraft III is "Rover, wanderer, nomad, vagabond… call me what you will." Pushing the reference further, World of Warcraft has the quest "Wherever I May Gloam".
(at the 1:03 mark).