When I used EMACS installed from macport, I could open EMACS with new window by just clicking icon in applications menu. Since it has problem on loading some packages, however, I removed macport EMACS. Then I reinstalled EMACS from homebrew. Brew version works well with respect to packages. But I don't know how to open it with new window. Now, I just can open EMACS in terminal window. Is there any way to open EMACS on new window without using aquamacs?
I installed directly from https://emacsformacosx.com and works perfectly.
brew cask install emacs
will install a Cocoa-based version from https://emacsformacosx.com, which is better supported than the accepted answer's version.