I still use it. It’s fun sometimes because it slightly throws people. 

Eh? What else would you say?

Pleased to meet you is non-U.

I suppose if it were a child, I might say hello. 

How do I do what?

Do policemen still say 'allo 'allo 'allo?

Only when we spot someone watching a wartime sit com.

when people started saying wassup

When I met HMTQ at a Buck House garden party, neither of us said this upon greeting each other.

I merely nodded my head respectfully, and she asked if I was enjoying my tea.

I just asked her wagwan and she asked me if I was enjoying the bare massive party.

Do policemen still live on Letsby Avenue?

No we all left when the truncheon meat sandwich shop closed.

I am with stardust. I use it because I enjoy that it slightly throws people. 

Also I would look ridiculous saying 'hey bro'.

Why does it "throw people". 

Genuinely, wtf is the alternative? Are we all meant to say yo, bruv nowadays?

Do do you how?

Bruv?

it's one of those confusing English expressions that baffles people whose first language isn't English.

It has been replaced with "alright?" which Americans can't get to grips with.

You can hardly use alright in a professional setting.

I always use it.  It does cause a few looks of puzzlement as Dusty said.  I think it is seen as outdated or over formal nowadays.  "Dude" seems a bit informal for meeting certain individuals!

"How do you do" is something Professor Higgins would teach Eliza Doolittle, wot wot.

a simple "how are you" works, although the answer I give to this confuses non English speakers too when I say "Not too bad", which implies bad but not too bad.. 

I always assumed it was just posh boy nonsense for 'I have nothing to say'.

"How are you?" sounds a bit weird, like an actual question a doctor might ask, rather than a rhetorical one. 

I don't think I've ever said anything other than "how do you do?"

The only alternative I think I've ever heard is "pleased to meet you."

That's probably my lack of imagination though. 

Wasn't it one of the slurs against the Middletons, that Kate's mother said "pleased to meet you" when she met the Queen?

and what do you do? 

I often say how do you do when being introduced to someone

Have you come far? 

Where are you from?

and how do you really do? 

I also find a  tip of the cap, or even a jaunty salute, can be effective.

I was told by my Mum that ‘Pleased to meet you ‘ was vulgar. 

There used to be a most amusing comedy quiz for Impressionists ( Yarwood, not Monet) called’Who Do You Do’. 

Happier times. 

Re LawPerson, there was a thing in Tatler a few years ago that they were called The Pleased to Meet You Middletons!