I'm surprised nobody has mentioned 1st page 2006 from evrsoft. It's basically a free, scaled down version of dreamweaver. It's got a good number of features, but it's still fast, faster than dreamweaver in my case.
I never use a software seperately for html, I use the html editor which is available along with cpanel's latest version. I think you dont need a seperate html editor for editting.
The most simple html editor you can have is notepad and IE opened simultaneously.
But my advise is to go for dreamweaver, in which you can not only edit html files but also many type of files.
I love topstyle, granted its a windows based program. It's got an almost adobe photoshop'esque setup to it, where you can view multiple windows. For instance, you can write your code in the top box, and view the outcome of it in the bottom box.
I haven't used it in a bit, but, it lets you edit many different types. Last time I used it, it was for XHTML, and it worked like a charm. It took me a while to really find a good non-mac based program that did this. It comes with a free two week trial I believe? You can also purchse the commercial license. http://www.bradsoft.com/
I normally handcode then run it through Dreamweaver for validation issues. I was lucky enough to get a good deal on it through upgrading, but its well worth it if you really use a HTML editor instead of handcoding.
Microsoft Frontpage was the first editor I used because it came with the computer I had at the time. Before that, I coded everything by hand which was just ridiculously time-consuming and frustrating at times. Frontpage was like heaven for me and it's probably still good, but I've moved onto Crimson Editor and love it even more.