Apple - Maximize windows just like Windows on OS X

Hold shift option ⌥ and click the green maximise button on the top left part of the window.

NOTE: not every OSX application is eligible for maximize (example: maximizing the Finder doesn't work)

If you are still looking for an alternative way, have a look at Spectacle.

• You can select from the menu or use a keyboard shortcut.
  
• There are many resize options but your requirement is "Fullscreen ⌥⌘F"
  
• It is not like OS X full screen but Windows like maximum.

There's a www.bettertouchtool.net app which does exactly what You need. You can download a trial and check it.

There's also Better Snap Tool from the same developer on the MacAppStore which does only window snapping.