This Flash game was an Internet version of the minigame Hello Kitty no Iro to Katachi from the 1996 onward PC series Sanrio Tiny Park. There were two versions, one hosted by Sanrio Japan and another by Yahoo! Games. The Sanrio Japan one may be lost media. This is the 2012 Yahoo! version.
http://s.yimg.jp/i/kids/games/puzzle/...