This diff increases the number of visible results and makes the autocompletion dropdown scroll. There's still a limit on the number of items shown (for React's sake) but it's more of a cap than a display choice.
Type tag:, status: in dropdown
When scrolling down with the keyboard, does the scrollable div keep the highlighted item visible? (If not: the typeahead dropdown code for global search and log filtering does do this, so we can either try to reuse that code here or copy it over temporarily.)