For some reason it seems that my favourite editor TeXnicCenter doesn't support unicode (correct me please if I'm wrong, which wouldn't be the first time).
Can anyone recommend an editor which does, for Windows platform? Simplicity is appreciated.
According to the TeXnicCenter site, there'a an alpha version that supports unicode: TeXnicCenter 2.0 Alpha 1.
If you are willing to change your editor, perhaps the answers to this question can be useful for you: LaTeX Editors/IDEs.
I personally use TeXworks (I use it under Linux, but it is multiplataform, so you can also use it on Windows machines).
see last column in http://en.wikipedia.org/wiki/Comparison_of_TeX_editors
Folks, there is only one editor, which is as mighty as LaTeX is: Emacs, with the AUCTeX-Package.
Don't garble your workflow by using one of this half-baked, GUI-dominated and buggy newcomers. Emacs has been around for more than 20 years.
I will retag this question.
Edit: Recently I found out that Emacs even can use the back of Word documents! Think of all the people who only work on the side of the document which is shown on the screen! What a waste of resources.
TeXstudio is best Unicode Editor in arena right now.