You know those fridge magnets that have like a few hundred words, and
everyone who walks by your fridge moves them around to make comedic or
profound statements? There are all kinds of sets, like geeky words, or
sexual words, or general words, or french words. I would really like
to find something like that but with chinese characters. I have done
quite a bit of searching and have uncovered some larger magnets with
chinese characters on them but so far nothing intended to be a
mix-and-match make-your-own-funny-sentences kind of magnet set.   I'd
settle for Japanese perhaps if Kanji was sufficiently represented.

Hello danfriedman-ga,

Most of the kits you refer to have hundrends of words. This is the
largest collection of Chinese characters I've been able to find.
Please let me know if this meets your needs.

http://www.chinasprout.com/shop/AMH004
Magnetic Zen (AMH004) 
63 Pieces of magnets in Chinese characters. These gorgeous tiles
depict the ancient philosophy of ying and yang that work to create
harmony in our lives. Find your inner peace. The perfect little
oriental accents for your home or office. These unique magnets can
hold ?art? on your refrigerator or notes on your filing cabinet.
Chinese characters include Love, Happiness, Intelligent, Peace, Grace,
Joy, Propiety, Loyalty, Endurance and more.

~ czh ~

Hi czh,

Thanks for your suggestion. My own searching uncovered a variety of
magnets available that had chinese characters on them, but I am
specifically hoping to find something that will permit the
construction of sentences using at least some reasonably large subset
of common chinese characters. Thanks again for taking the time you did
to search,

Dan

I would recommend making your own!  This site 
http://www.purcifuls-toys.com/writyourownm.html
sells blank magnetic strips with a pen, so you can write your own
characters and create your own poetry.

Hope this is helpful!