New update on Nov - 2018: Until this time, I would update some versions that works on many users:
And here is the Mac Office 2019: Download link + Crack instruction.
The following content was first posted long-time ago:
In this topic we share Mac Office 2016 v15.3.1 - Full Patch, no need crack, keygen, seial or things related. You can select which apps (Word, Excel, Power Point, OutLook or OneNote) to install. Furthermore, the provided Patch is so simple to run without installing Command Line Tool and using Terminal.
Publish date : 08/11/2015
Mac Version : 15.13.1 
Mac System Requirements :
• CPU: Intel processor
• Mac OS X version 10.10 and 10.11
• Recommended 2 GB of RAM or more
• 6 GB of free hard disk space for installing
• Hard disk formatting such as HFS + (also known as Mac OS Extended or HFS Plus)
• Screen resolution: 1280x800 or higher
Language : English and 15 others
Just download and install the app what you really need:
• MS Word 2016 v15.13.1: Download
• MS Excel 2016 v15.13.1: Download
• MS Powerpoint 2016 v15.13.1: Download
• MS Outlook 2016 v15.13.1: Download
• MS OneNote 2016 v15.13.1: Download
Installation password: osxvn
Before installing, you need to remove completely the existing Office 2016 in any versions. You might want to take a look on How to uninstall and remove Office 2016 from Mac completely.
After installing the particular apps needed, using the following Patch file to get them activated fully for free.
Office 2016 v15.3.1 Patch file: Download
Launching password: osxvn
Hopefully my share would help