This page was getting pretty crowded, so I made a playlist. And separately, there's a Sprint ad from 2001 featuring Panda Claus. (It's not on the playlist because I haven't been able to find it on YouTube.) And once the playlist itself got too crowded, I decided to break it up into several playlists, starting with 1980s-2009.

1980s-90s
Folgers: a nostalgic ad from the 1980s.
McDonalds: another nostalgic ad, with Ronald and kids ice skating.
Sobeys: yet another nostalgic one, for anyone who lived in or near Canada in the 80s or maybe early 90s. I wish I could find a copy where the video isn't so wonky, but at least the song plays alright, and that's the important thing.
Coca-Cola: the holiday trucks are kind of nostalgic, but this gets remade pretty much every year. I have no idea which year this one is from, but I think it's one of the older versions.
Norelco: a compilation of ads from various years.
Hershey's Kisses: This first came out in 1989, and it's played every year since.
Coca-Cola: The CGI polar bear ads started in 1993, but I'm not sure what year this Christmas one is from. Probably around '94 or '95.
Energizer Bunny: the video I found said it's from 1995, which sounds about right, I guess.
Pebbles cereal: part of a long-running series of ads where Barney Rubble tries to trick Fred Flintstone out of his Pebbles cereal.
Polaroid: the video I found said 1996, but Phil Fondacaro's IMDb page says 1998.
M+Ms: this started airing sometime in the mid-90s, and still airs every year. (A sequel was made in 2017.)
Gap: A cool ad featuring Luscious Jackson singing "Let It Snow," which must be from '98 or '99.
MTV bumper: a little animation with reindeer which I think is from sometime in the late 90s.

c. 2000-07
Sprint PCS: from sometime in the 2000s, Santa's stuck in the chimney
True Value: an amusing ad from 2003 with Danny Woodburn as an elf.
Old Navy: a series of five ads from 2004.
Aflac: from 2007, an ad featuring the whole gang from Rudolph the Red-Nosed Reindeer
Get a Mac: a series of three animated ads from 2007-08.

2008
John Lewis: an ad featuring a cover of the Beatles' "From Me to You" (though I don't know who it's by).
Macy's: an ad from 2008, though it evokes the 2009 special Yes, Virginia.

2009
John Lewis: an ad featuring a cover of Guns N' Roses' "Sweet Child o' Mine," by Taken by Trees.
Verizon: Island of Misfit Toys.
Target: one of my favorite Christmas commercials ever.
Disney Parks: "Joy to the Small World"

2010
John Lewis: "Rocking Horse," with a cover of Elton John's "Your Song," by Ellie Goulding.
Planters: this debuted in 2010, with Robert Downey Jr. voicing Mr. Peanut. In later years it was redubbed with Bill Hader, but this is the RDJ version.

2011
John Lewis: "The Long Wait," with a cover of The Smiths' "Please, Please, Please, Let Me Get What I Want," by Slow Moving Millie.
iPhone 4s

2012
John Lewis: "The Journey," with a cover of Frankie Goes to Hollywood's "The Power of Love," by Gabrielle Aplin.
Samsung Galaxy: a Christmas version of Samsung's earlier "Work Trip" ad.
Windows Phone: an ad featuring characters from "Rudolph," the main one being the Bumble.

2013
John Lewis: "The Bear & the Hare," with a cover of Keane's "Somewhere Only We Know," by Lily Allen.
Ford: Dream Big sales event, Ford Fusion.
Best Buy: a series of ads, featuring Maya Rudolph, LL Cool J, and Will Arnett. There was at least one other one, featuring Jason Schwartzman, but I didn't include it here.
Target: a trio of ads featuring Sue from The Middle, kids from "Back in the Game", and Stella from Modern Family. Then one of the "My Kind of Holiday" ads, which I like because the song lyrics mention "caroloke" and "ninjabread men." Then "Santa Catcher"

2014
John Lewis: "Monty the Penguin," with a cover of The Beatles' "Real Love," by Tom Odell.
Sainsbury's: an ad featuring the Christmas truce of 1914.
Marks & Spencer: "Follow the Fairies"
Samsung: an ad featuring Kristen Bell and Dax Shepard.
Target: "Alice in Marshmallow Land." There are some other ads that are part of this year's series, but this is the cutest of them.
Surface Pro 3: a cheesy rendition of "Winter Wonderland," but the song is just such an earworm.
Verizon: an amusing ad with a mom playing director.
Minions: a holiday greeting from the "Despicable Me" minions, who are getting their own movie next year.
Samsung: "Holiday Dreams," a very cool ad.

2015
Macy's: "The Wish Writer"
John Lewis: "Man on the Moon," with a cover of Oasis's "Half the World Away," by Aurora.
Duracell: "Battle for Christmas Morning," a cute Star Wars ad.
AT&T: a series of claymated ads featuring Lily the sales rep, and characters from "Rudolph the Red-Nosed Reindeer."
Target: a series of five ads featuring three kids on an epic journey.
Sainsbury's: "Mog's Christmas Calamity."
Sky Movies: I may not agree with this kid's (dis)taste in brussels sprouts, but I love her taste in movies.
Aldi: cute ad featuring the song "My Favorite Things."
KFC: a strange but amusing ad with Col. Sanders (Norm Macdonald) playing Santa.
Myer: Disney's A Life More Magical (I like this one because it's got Tink)

2016
Duracell: "How the Rebels Saved Christmas," another cute Star Wars ad.
ebay: (on iSpot) "The gift for the one who wants to be just like Grandpa"
Aldi: Kevin the Carrot
John Lewis: "Buster the Boxer"
Sainsbury's: "The Greatest Gift"
Marks & Spencer: "Christmas with Love from Mrs. Claus"
Lidl: #santaclara
Apple: "Frankie's Holiday," a surprisingly touching ad featuring Brad Garrett as Frankenstein's monster.
Temptations: an amusing ad featuring a bunch of cats.
Macy's: "Old Friends"
Target: (separate playlist) a series of ads built around a mini-musical called The Toycracker

2017
Marks & Spencer: "Paddington and the Christmas Visitor" (Thank you, little bear.)
HP: "Create Wonder in Your World | Reinvent Giving"
Debenhams: "YouShall Find Your Fairytale Christmas" (it says part 2, but it's the whole thing)
John Lewis: "Moz the Monster" with a cover of the Beatles' "Golden Slumbers" by Elbow.
Sainsbury's: "Every bit of Christmas"
Folgers: (on iSpot) "Dad Mug"
L.L.Bean: an ad featuring "You're a Mean One, Mr. Grinch"
Dish: (on iSpot) Santa and the Spokeslistener
Macy's: "Lighthouse", "The Holiday Lights", "The Wrong Size", "The Perfect Scent"
M&M's: "Faint 2: A Very Yellow Sequel"
BBC One: "The Supporting Act"
MetroPCS: (on iSpot) actually a Black Friday ad, but it has a department store Santa and elf
Aldi: Kevin the Carrot, again. (There are several more ads in this year's campaign that you might want to look for.)
Target: Together's the Joy campaign (separate page)
Sprite: a claymation ad featuring LeBron James and the song "The Thirstiest Time of the Year"
Verizon: (on iSpot) "Pony" (which is actually about a rabbit).

2018
Barbour: "The Snowman"
Starbucks: (on iSpot) "Peppermint Mocha" (featuring the song "On the Brighter Side" by Kayla Stockert).
Duracell: "Night Before Christmas"
Sainsbury's: "The Big Night"
Macy's: "Space Station"
John Lewis & Partners: "The Boy & the Piano" (featuring Elton John)
Facebook Portal: "Ugly Sweaters"
Google Assistant: "Home Alone Again" (featuring Macaulay Culkin)
Purple: "Bring Comfy Home for the Holidays" (4 ads; the first is a parody of the 1980s Folgers ad that started my 1980s Christmas playlist)

2019
Hallmark: "When You Care Enough to Remember Your Little Rebel"
Macy's: "Santa Girl"
KAY: Every "Best. Gift. Ever." Begins with KAY
John Lewis & Partners and Waitrose & Partners: "Excitable Edgar" (featuring a cover of REO Speedwagon's "Can't Fight This Feeling" by Bastille)
Sainsbury's: "Nicholas the Sweep"
Lidl: "A Christmas you can believe in"
Joules: "Christmas at the click of a button" (feat. Wallace & Gromit)
Myer: "Christmas is where we are"
Marks & Spencer: Jumpers for Christmas (feat. "Jump Around" by House of Pain)
Godiva: "Wonder Awaits" 2 ads
McDonald's UK: "#ReindeerReady"
Iceland Foods: "Frozen II"
TJ Maxx, Marshalls, HomeGoods
Xfinity: "A Holiday Reunion" (feat. E.T.)
Walmart: "Holiday Rap Battle", "Walmart Nutcracker"
Old Navy: (on iSpot) "Holiday Wrapping!" (one of several ads that featured Neil Patrick Harris; this one also features Billie Lourd)
US Cellular: (on iSpot) "switch and get the latest phones free"
Frito-Lay: "Share Your Favorite Things" (feat. Anna Kendrick)

2020
Hershey's Kisses: "Bells to blossoms"
Amazon: "The show must go on"
Macy's: "In dad's shoes"
Disney UK: "From our family to yours"
Capital One: (on iSpot) "Late night" (featuring John Travolta and Samuel L. Jackson)
Argos: "An Evening with AbracaDaisy & The Incredible Lucy"
Waitrose & John Lewis: "Give a little love"
Lidl: "Big on a Christmas you can believe in"
Xfinity: "Give togetherness" (feat. Steve Carell)
DocMorris: "Take care of yourself"

2021
Disney UK: "The Stepdad"
Boots UK: "Bags of Joy"
Macy's: (on Vimeo) "Tiptoe and the Flying Machine"
John Lewis & Partners: "Unexpected Guest"
Coca-Cola: "Chimney"

2022
Kroger: "The Magical Cookbook"
Disney UK: "The Gift"
Kohl's: "More Gifts, More Savings"
Lidl: "The Story of Lidl Bear"
Amazon: "Joy is Made"
John Lewis & Partners: "The Beginner"
Sky TV: "Christmas Carole"
Walmart: (on iSpot) "All the Ways We Holiday"
An Post: "Send from the heart this Christmas"
Boots UK: "Joy for All"
The Binge: "Christmas with Cat and Dog"