Here is the full list of all 38 All I Want for Christmas are Subgames achievements.
Complete Jigsaw Mode
Complete Click to Swap Layered Mode
Complete Click to Swap & Rotate Mode
Play a Click to Swap & Rotate Mode without using Hint
Complete Word Search Mode
Play a Word Search Mode without using Hint
Complete Connect Mode
Play a Connect Mode without using Hint
Complete Shapetris Mode
Play a Shapetris Mode without using Hint
Complete Paint Mode
Play a Paint Mode without using Hint
Complete Montage Mode
Play a Montage Mode without using Hint
Complete Memory Mode
Play a Memory Mode without using Hint
Play a Click to Swap Layered Mode without using Hint
Complete Swap Mode
Play a Swap Mode without using Hint
Play a Jigsaw Mode without using Hint
Complete Find the Difference Mode
Complete Click to Cycle Mode
Complete Crossword Mode
Play a Crossword Mode without using Hint
Complete Color by Pixel Mode
Play a Color by Pixel Mode without using Hint
Play a Click to Cycle Mode without using Hint
Play a Find the Difference Mode without using Hint
Complete Phrase Letter Swap Mode
Play a Phrase Letter Swap Mode without using Hint
Complete Detail Mode
Complete Click to Place Mode
Complete Collage Mode
Play a Collage Mode without using Hint
Play a Click to Place Mode without using Hint
Play a Detail Mode without using Hint
Complete Hidden Object Mode
Play a Hidden Object Mode without using Hint