Freeware for GBA/GBC can be loaded using AD Adapter (white version).
So now we can play them on our SNES console as retro console games. (Details)

Present Panic

Released: July 2001  Developed by Supanova Software
Story: (quote from developer's webpage...external link)
 "Santa Claus is in trouble! The elves have gone on strike and spread all the
  presents for Christmas around Santa's factory in the north pole.
  Santa must travel through eight areas of the North Pole manufacturing plant
  and recover all the presents in time for christmas day! "

 A button makes Santa jump, and B button makes Santa run.
 Santa can jump farther while he's running.
 There's not only "time limit" but also levers and wooden containers.
 They makes the game trickier.
 The difficulty itself is higher than general commercial GBC games.
 If you're an enthusiast for both xmas and hardcore platformer,
 this game are recommended for you !

Xmas Crazy Shift

Released: November 2001  Coder: Luigi Fumero  Graphician: Paolo Calloni
 It is the game created for the VISOLY xmas 2001 competition.
 Only you have to do is moving Santa to carry gifts by pressing direction key only.
 At first it is no problem if you carry gifts one by one, however,
 it becomes nearly impossible after you earned more than 600 points.
 But don't forget that you can carry up to 5 gifts at once.
 Too simple game, huh? Remember, the game was created in only 2 days in the same year
 GBA hardware released. Superb !!

Dangerous Xmas

Released: March 2003  By Spoutnick Team (webpage...external link)

 Do you remember "Rick Dangerous", Core Design's legendary Amiga game?
 In recent years that original title was ported to other consoles, such as Genesis and 32X.
 To our surprise, this game was released on GBA long ago, in 2003 !
 This "Dangerous Xmas" was created by Spoutnick submitting for the GBAX.COM 2003
 compo and took second out of more than 50 entries! We can play this xmas edition controlling
 Rick in two ways, the same as original Amiga version (one button pad) and GBA's one.

Santa Escape

Released: December 2004  Developed by Future Shock Software
Story: (quote from readme file)
 "Santa is trapped in the Labyrinth of Presents, with only 3 minutes until Xmas eve!
  Help him get to his sleigh before time runs out. There will be many presents blocking your path,
  so you must move them out of the way. "
 Press A button to move each presents blocking the path. Maze itself is more complicated
 than we expected, so we'll have to try again and again.

Santa's Chimney Challenge!

Released: December 2005  Developed by Paradise Games
Story: (quote from readme file)
 "It's Christmas Eve and Santa is busy delivering everyone's presents!
  But Santa's eating too many free cookies and Rudolph is losing height as the night draws on!
  Quick! lower the chimneys by delivering, all the presents, before Santa gets too
  fat and Rudolph makes a crash landing! "
 It's "Air Attack" clone with xmas taste submitting for Drunken Coders Xmas Coding
 Competition 2005 (Got the 1st place...External link).  Very simple gameplay.

Christmas Challenge (Défi de noël)

Released: December 2005  Developed by Nagamé
Story: (quote from readme file)
 "The dwarves of the Playeradvance forum removed the mother Christmas !
  Santa Claus, you must found your wife ! Eliminate the 64 dwarves and
  finds mother Christmas with the SELECT key. "
 This game was the 2nd place in Drunken Coders Xmas Coding Competition 2005.
 It's a cute FPS game playing "Jingle Bells" with vocal. You cannot sidestep left/right,
 it's almost no problem. You can see a picture of a lady after you kill many dwarves.

Operation Snow

Released: Janualy 2006  Developed by FluBBa
This game was created for Drunken Coders Xmas Coding Competition 2005.

 FluBBa, a legendary developer of emulators for GBA, created this xmas present.
 The game is a shooter game which is similar to "Beast Busters".
 You will see tons of bad Santa like enemies who appear in front of you intermittently.
 Be careful not to shoot harmless civilians.

Santa's Sweatshop

Released: January 2006  Developed by Sumiguchi
This game was created for Drunken Coders Xmas Coding Competition 2005.
Santa: Ho ho hun? You're not my Head Elf !
Elf: Oh, didn't you get the memo? Starting today, I am the new Head Elf !!
Santa: Ho ho hokay! I suggest you get familiar with the workshop and prepare
           for the challenge of being Head Elf !
Elf: Sure thing Santa ! Candy Canes & Christmas Carols all day long !
Santa: Listen up Candy Cane girl ! Along with your regular job of sorting & packing gifts...

Clem the Retarded elf

Released: Janualy 2007  Developed by Thingker Studios
 This game won the 1st place in Drunken Coders Xmas Coding Competition 2006.
 (External link) It seemed the developer earned 200 USD.

 Clem is a retarded elf who loves presents. You have to guide him to all presents not to fall
 down from the platform. He would continue to walk unless he get a present / "stop" tile /
 bombs or be stuck in front of the ice block. There are teleporters, too.
 Cute and nice game for xmas.

Santa saves xmas

Released: January 2007  Developed by
 This game was created for Drunken Coders Xmas Coding Competition 2006.
 Control your Santa and pick / throw snowballs.
 You can also jump and change the range of snowballs, however,
 actually you don't have to do, I think.
 Only you have to do is getting closer (to avoid enemies' snowballs) and defeat enemies.
 Nothing happens even if you guide Santa to the right of the map. Sorry, nearly unplayable.

Santa's Skidoo Scarper!

Released: January 2007  Developed by Paradise Games
 This game was the 6th place in Drunken Coders Xmas Coding Competition 2006.
Story: (quote from readme file)
 "It's the night before Christmas Eve and Santa is running late! Never again will he order the
  presents using online shopping! The delivery men have lost them all and left them all over town!
  Quick! Get collecting those presents on Santa's trusty Turbo-Skidoo and get Santa home
  in time for Christmas! "
It seems a bit hard to play the game on SNES console. Tiles themselves are well drawn.

Snowball Saving Christmas

Released: January 2007  Developed by Cephews   This game was created for Drunken Coders
 Xmas Coding Competition 2006.   Story: (quote)
 "Tomorrow is a big day. Santa and his elves are finished with the presents.
  Suddenly the window breaks. Creatures are storming in. The elves try to stop them.
  But the creatures use a force that makes the elves evil. Then the creatures captures Santa and
  runs away. What will happen to christmas ? "

Well-done designed maps. There are many big enemies and boss. Recommended.

Christmas Pong

Released: October 2008  Developed by Jinroh DEV

 This is a Xmas themed "Pong" game, very classic arcade game in 1970s.
 A yellow ball appears from a xmas tree, which doesn't have collision detection.
 ...So, it is just "Pong" game.
 You will get boring after 2 ~ 3 minutes at most.
 I promised.
 It would better if the game has background(s) which we can feel xmas, though.

Clem the Retarded elf 2: Blind Elf Walkin'

Released:  2009  Developed by Thingker Studios
Story: (quote from readme file)
 "Poor Clem. He's a retarded elf who loves presents but hasn't the brains to find them.
  Can you help him and his blind friend, Rud get all of the wonderful gifts in time for Christmas?"

 Clem game has been returned. This time you have to guide both him and his blind friend.
 They are used as walls each other, now the puzzle becomes more trickier !
 Highly recommended more than previous "Clem 1" .