MagicSuggest is highly flexible auto suggest combo box in the line of Bootstrap themes. It is many configuration options that you can customize.
MagicSuggest examples
Ajax Autocomplete for jQuery allows you to easily create autocomplete/autosuggest boxes for text input fields.
Built with focus on performance - results for every query are cached and pulled from local cache for the same repeating query. If there are no results for particular query it stops sending requests to the server for other queries with the same root.
doubleSuggest plugin will set up a UI that suggest results as you type.
It will display two types of suggestions, first (and faster) the local data and second (and slower) the results from an ajax search query.