Verify if the files can be unzipped successfully from 7Zip archive

You can use 7zip to do this. Either right click and select Test Archive from the 7-Zip context menu or you can use the command line

7z t somearchive.7z 
7z t somearchive.zip

etc

You get output like this from the command line

"c:\program files\7-zip\7z" t somefile.7z

7-Zip [64] 9.20  Copyright (c) 1999-2010 Igor Pavlov  2010-11-18

Processing archive: douglas.cx.txt.7z

Testing     somefile.txt

Everything is Ok

Size:       761
Compressed: 492