There is something like that in Eclipse I think, certainly in the Eclipse Helios. When typing you press CTRL+SPACE, or when you typed variable name '.' will start auto-complete options.
Also here someone suggests to change auto complete delay settings to 0.
BTW you can also accept your selection with space bar, for sure.
EDIT:
Why not consider using NetBeans, my personal favourite. There you have an option to show auto-completion on start typing any Java Identifier Part. This would then look exactly as you want it. (in NetBeans Tools->Options->Editor->Code Completion
, there in Language box select Java and finally check Auto Popup on Typing Any Java Identifier Part).