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.