Opening ZIP or RAR archive on your Android phone or tablet is easy provided that you have the appropriate tools installed. AndroZip File Manager is a free and popular data compression tool that can help you out. Not only it can read ZIP or RAR files, but it also provides access to several other interesting features:
Manage your archive - Copy, delete or move your files.
Create ZIP or RAR files - Compress files and folders on your phone.
Support for encrypted files - Create/read password protected ZIP or RAR archives.
Install APK files - Install apps downloaded from other sources than the Google Play Store.
Winzip the famous compression and decompression software is also available for the Android platform. It offers most of the features of the desktop version, including the ability to read and create encrypted files, direct integration with Dropbox and much more.
Alternatively you can opt for RAR for Android a file manager by Rarlab, the publisher behind the famous WinRar software.