None.
Core JSF is limited to what basic HTML can do, and there's no HTML basic control that can do auto-suggestion.
However, a number of the extension tagsets offer what you want. I have a apps that use
JBoss RichFaces to do this, for example.
The secret of how to be miserable is to constantly expect things are going to happen the way that they are "supposed" to happen.
You can have faith, which carries the understanding that you may be disappointed. Then there's being a willfully-blind idiot, which virtually guarantees it.