Hanafi Answers

Shaking
hands with the opposite gender

Shaking
Hands With the Opposite Sex Is Haram, & The Importance of Holding On To
One’s Deen

Shaking
hands with the elderly women

Shaking
Hands Again

Shafi’i answers

Shaking
Hands with Women 

Shaking
hands with the opposite sex

Shaking
hands with someone of the opposite sex – Part I: The Fiqh

Shaking
hands with someone of the opposite sex – Part II: Textual proofs supporting the
prohibition

Source: SunniPath Answers (http://qa.sunnipath.com)

General, non-fiqh article about the topic

I’m
sorry, But I don’t shake hands!!