Not sure what the iPhone app looks like or it's features. After messing around with most of the note apps under productivity in market, Note Everything seemed to me the most robust. It's almost sophisticated enough to replace a task manager like Astrid. There really is a reason it has 5 stars. But it depends a lot on what you need, e.g. reminders, encryption, checklists, multimedia notes, etc., or just basic text notes. For the latter, AK gets good ratings but I personally found it too simple. Note Me seemed pretty good to me as well except for the font. Wonder if that was fixed in 2.0.1.
Try out a few of the ones suggested here and see which one you like best. I would recommend not specifically trying to find apps that look or act like iphone apps and just look for apps that you like using. If you limit yourself you might pass over an app because it isn't "like the iphone app" and miss out on a very good one.