Hunting vigorously through the lazylaces archives for "point'n'click" unearthed the following results...
New Year Ruby Room as soon as possible, and start hunting for 2012 rubies before they all go, and you are stuck with last year's models [subbed by Awkwardo].
e3D: Operation New Year your mission, should you choose to accept it, is to help the elves find Santa, sleigh and bag of presents for all the children before 2012... too late! [subbed by Awkwardo].
Must Escape The Burger Joint. No seriously, you must. It's a contractual obligation as part of your New Year's resolution [subbed by Selfdefiant].
Sneaky's Crusade 8 is the eighth installment of Sneaky's search for ancient gold statues [subbed by Selfdefiant].
New Year 2012 is another short, but sweet, easy game to bring in the new year, with an apparent cameo from Trogdor's brother [subbed by Cyberjar88].
FOOTNOTES: Scroll down the linked page a little to find the game.
Happy New Year Escape. A pretty simple game to start the year with [subbed by anon].
New Year 2012 so that you can enjoy the rest of the year too? [subbed by f00].
Happy New Year card. Scroll waaaaaaay down to the bottom of the linked page to find the game. And, of course, Happy New Year! [subbed by f00].
Snowflake Night, rather than escape it... [subbed by subzero, f00 & Celesta].
Mystery Castle Secret Escape than you were when you got lured into a spooky medieval castle basement in the first place... [subbed by f00 & Dov].
FOOTNOTES: Click on one of the three links in bold further down the linked page to start the game.
Concrete Stairs 3. Don't expect this to be an easy game though, concrete is notorious for having to solve tricky puzzles before its allowed to move up or downstairs [subbed by subzero].
Zorro, makes the word "Zeoro", and then locks you in a room with a comfy red chair for company. Can you escape before someone carves a big "Z" in the front of your favorite shirt? [subbed by anon].