Japanese actually has two more writing systems in addition to Kanji
Hiragana - a basic alphabet-like writing system for Japanese words
Katakana - a basic alphabet-like writing system for foreign words
Just thought I'd throw that out there.
More on topic, a character that I think works well for a basket is 空
The top portion of the character (the part that looks like a basket) is the radical for "hole" and the character as a whole means sky, space, or void. Just a thought.