But I really got a kick out of seeing someone use the tool itself to give us feedback...
"コンピューター"
Sure enough, it's my spelling which was at fault.
Some documentation on the key commands available would be handy - I was able to figure out a bit about the space bar and arrow keys but I'm sure I'm missing some features. I'm on my Ubuntu/Firefox box at work currently so that's the environment I'm working in. I don't currently have an IME set up here. I did have difficulty trying to type romaji, such as "typd.in" in the midst of the kana. A shortcut key to transpose directly to katakana would be handy. Trailing 'n's didn't convert directly to hiragana while typing in most cases - I had to follow with another character to get it to take, which was kind of jarring.
The bookmarklet is very clever. I'm going to post it to a message board I frequent which has lots of aspiring Japanese students, if that's ok. I'm sure you can get some good feedback from them.
One thing that would be a killer-app to someone like me whose writing is atrocious would be a feature to display definitions of kana in both english and japanese when displaying possible readings. Sort of like an on-the-fly rikaichan.
Anyway, very cool app. Good luck!