In England, we have a variety of ways to greet each other. Some people, mostly men, will simply greet with a handshake, and saying “good to meet you.” Women sometimes do cheek kisses, though this is mostly a formal thing.
Male greeting depends on a lot of things in Britain. Those things are as follows:
When greeting someone after meeting them for the first time, it is generally customary to shake hands, or just wave hello, and give the verbal greeting of choice, which is quite often either “How nice to meet you!” or “Good to see you again!”
If meeting someone you are more friendly with, handshakes or brief hugs are not uncommon, although they are not as common as other greetings, mostly due to some groups still seeing men hugging as being “a bit gay”. Plus, British people tend to prefer personal space more than some other cultures.
When meeting someone of high class, such as perhaps the Queen, who likes to pop round every now and then for a cup of tea and a chat about the weather, we tend to bow.
When greeting someone you are close-ish friends with, hugs are slightly more common than before, mostly due to being more comfortable with them as a person.
When greeting a very close friend (of a young, working class background), it is customary to have a casual exchange of insults, followed by invading their space as much as you can, and implying that you have recently achieved sexual congress with their mother. The “bro-fist” will also suffice.