It would be handy for users to have the option to store and access their LaunchBar search history.
For example, I have a Search Template that to lookup books on Amazon. I frequently want to repeat a search that I did before my last search. Rather than reentering the search parameters, I'd like to be able to use the UP arrow to access previous search strings. This applies to all kinds of searches.
Having an autocomplete match within the search history would also be nice. E.g., if I looked for "John Saul A Fair Country", then "sa fa" would find that. (Something like what OmniFocus's project-field autocomplete feature.)
Of course, the history would be specific to each search template.