For Android
Textmaker is the only office app I found, which does all I need and is compatible with Word. It supports styles and footnotes and has the word revision system build in. So anything I can do in word (and isn't to fancy) I can do it in there. The only downside is the GUI, as it is not the best possible for a mobile app, but workable. Kingsoft Office has a nicer GUI and is nearly as feature rich, but doesn't support footnotes, which is unfortunately a must have for me.
Syncing the files with dropbox is easy and the word compatability lets me work with the same file mobile and on the desktop.