The handshake is the common form of greeting.
The British might seem a little stiff and formal at first.
Avoid prolonged eye contact as it makes people feel uncomfortable.
There is still some protocol to follow when introducing people in a business or more formal social situation. This is often a class distinction, with the 'upper class' holding on to the long-standing traditions:
Introduce a younger person to an older person.
Introduce a person of lower status to a person of higher status.
When two people are of similar age and rank, introduce the one you know better to the other person.