I do quite like the "all seasons" tree . This was my first initial thought for a logo (just not a painted style like this) but I'm pretty sure it's been done more than once so it'd need some work to make it original.
Printable Chinese Zodiac Bookmarks, Chinese New Year
A Finger Painted picture of The Very Hungry Caterpillar.. great to do after the child reads the book by themselves for the first time . Just add name of the child , date and their age and it would make a great memory keeper even write or draw ideas on the back of what you would eat!