rekonq, a KDE browser, has been updated to version 2.3.2 in the Kwheezy repository.
The Debian wheezy version is very dated (v0.9.2). I find that it crashes on a few sites, and although it is my favourite browser, I ended up using Firefox almost exclusively. Maybe I'll be able to live in rekonq now that we have an up-to-date version.
Rekonq is native to KDE, therefore it integrates nicely into KDE and the other KDE apps. For example, it supports KIO slaves, so that you can save to network folders setup in Dolphin.
It is neat, snappy and lightweight yet very functional. And it has some quite unique features of it's own.
For example: you can add your own search shortcuts in addition to those available in rekonq. Search shortcuts allow you to search specific sites: e.g "gg: debian" would seach for "debian" on google. "yt: linux" would search youtube for "linux" related videos. "wp: raspberry pi" would search wikipedia for "raspberry pi". "deb: rekonq" would search debian packages (https://www.packages.debian.org) for "rekonq". And many more.
To find out more, visit the rekonq website.