Great plugin Konstantin! I couldn't get any of the other autosuggest plugins to work, but yours is great!
One suggestion for a future release: give the option to have the search execute when the suggestion is selected. Right now, you can pick the suggested search from the list, then it gets filled in the search input, then you must press enter a second time.
It would be cool if you only needed to press enter once, and it would select the suggestion and search for it at the same time.
I don't know if this is functionality most people want, but it would be pretty convenient!