Konqueror has an awful lot of hidden features. One of the things I've been missing after using Firefox a lot is incremental search - searching within a web page without an annoying dialog box, also known as "find as you type". Having found in the past that there are lots of undocumented features in KDE, I went and searched for this. Google was no help, but I eventually remembered the KDE Wiki, and found this:
Konqueror: Find as you type
To select a text or a link inside a web page (not inside a textarea or input):/ + your text for a text research' + the text for a link search
At last! It's not quite as good looking as Firefox's, but who cares - I'm a happy man. I've also found that doing '/' also initiates incremental search in Firefox, so I don't even have to remember which browser I'm in.