We need more specifics as to what you like about the S3. There is a thread on here somewhere that had the wallpapers,ringtones, and the "siri" like voice app.
The OP specifically stated the phone dialer app so no need for additional info.
To answer your question..to my knowledge there is no way to have the phone dialer you're looking for without being rooted and loading a custom ROM. Of course that meaning any of the ROM's have the dealer app you're looking for. I could stand corrected from those who have more knowledge than me in this situation.