Wine and Virtual Box are totally different in the way they run Windows
programs.

Wine attempts to run them natively in Linux and whereas some programs
work fine ( I'm currently typing this in The Bat 1.62R which is an old
e-mail client but works perfectly under Wine ) others don't run as
well as they should, or install but don't run, or even do not install
at all.

Virtual Box allows a full Windows OS to run within Linux as if it were
just another program so anything installed is run in a proper Windows
environment and much more likely to work without any glitches. Again,
not all programs will work 100%, though it's generally games that have
problems because they do not have direct low-level access to the
hardware. Only a full dual-boot system will allow Windows and Linux to
co-exist without imposing any restrictions. Having said that, apart
from the games most Windows programs will run perfectly well in a
Windows VM. Useful if there's some program that you really do need to
use that doesn't have an equivalent in Linux and gets over the issues
of dual-booting ( BTW - Wubi is still a dual boot setup ).

Note that a Windows OS run in Virtual Box and used on-line is just as
vulnerable to malware as if being run natively so the same sorts of
protection should be used as any other Windows user !!