Haven't been to all places listed, but will make a SWAG on those, based upon what I've read/heard.

London
Bath
Windsor Castle
St Pauls Cathedral
Scotland
Harrods
Cambridge
Buckingham Palace
Cotswolds
Cornwall
National Gallery
Chester
William
Natural History Museum
Blair (When Bush speaks, my ears hurt!)

Paris - London's a dive
York - fewer tourists and prettier city
Warwick Castle- less of a fake
Westminster Abbey -Poets' Corner
Scotland
Selfridges
Cambridge
Blenheim Palace
Cotswolds
Cornwall
Tate Modern -it's high on my list
Chester- been to Lincoln
Prince Charles or Prince William- no vote
Natural History Museum-I could spend hours there
Bush or Blair- No vote

My brain hurts from crunching numbers. So okay...

London. Nicer cops.
York. Better church.
Warwick. Nicer residents.
St Pauls. Better dome.
Scotland. Yer beer is guid.
Harrods. Better shopping bags.
Cambridge. Better chapel.
Blenheim. Oh please.
Peaks. Closer to Sheffield.
Cumbria. Better sausage.
National. Just because.
Lincoln. Named after a great President.
Charles. As in Edward Stuart? No? Okay, the PoW for his towering intellect.
Natural History. Prefer unnatural, but it will have to do.
Bush. Dim and proud of it.

This is fun!

London
York
Warwick Castle
St.Pauls Cathedral
Ireland
Selfridges
Oxford
Buckingham Palace
Cotswolds
Cornwall
National Gallery
Lincoln
Prince William
Science Museum
Blair

Paris
Bath
Warwick
St. Pauls
Hard to pick...Scotland
neither...Harvey Nichols
Oxford
Buckingham Palace
Cotswolds
Cornwall
Tate Modern
Chester
Prince William
Natural History Museum
Bush

London
Bath
Warwick
St. Paul's
Scotland
Harrods
Cambridge
Blenheim Palace
Cotswolds
Cornwall
National Gallery
lincoln
Prince William
Natural History Museum
Blair

London
York
Windsor Castle
Westminster Abbey
Scotland
Harrods
Oxford (have not been to Cambridge)
Blenheim Palace
Peak District
Cornwall
National Gallery
Chester (have not been to Lincoln)
Prince William
Natural History Museum
Bush

Paris (but am going to London for the second time this year next month)

York
Warwick
Westminster Abbey
Ireland
Selfridges
Cambridge
Cotswolds
Cornwall
National Gallery
Chester
Prince William
How about the V&A
Blair

London
Bath (haven't been to York, but love Bath)
Warwick Castle (been to neither, but Warwick appeals more)
Westminster Abbey
Scotland or Ireland (haven't been to Ireland, but honeymoon in Scotland for a reason!)
Selfridges
Oxford
Blenheim Palace
Cotswolds
Cornwall
National Gallery
Chester
Prince William
Science Museum
Blair

OK me too....
Cardiff
Broadway
Cardiff Castle
Llandaff Cathedral
Wales
Howells
Cardiff
Blenheim
Snowdonia
Devon
National Museum of Wales
Saundersfoot
The Prince of Wales (Pub in cardiff)
Museum of Welsh life St Fagans.
sorry too difficult for a Welsman....lol
This is a little biased but Honest...lol

Muck

London
not seen either, but I'll see York first
Windsor
Westminster (marginally)
Scotland
Selfridges (on my current salary anyway)
Blenheim (seen too much of Buckingham)
Peak district
Cumbria
National Gallery
no preference
William will be the better King
can't say
Blair is the better public speaker but if I could, I'd vote for Bush

London

Silly me ..hit the wrong key!

Start over..
London
York
St Paul;s
Scotland
Harrod's
Cumbria
Blenheim
Peaks
Cornwall
I'd go with British Museum bur with no other choice I guess Natural Gallery
Lincoln
Charles
Natural History
You're kidding right? At least Blair has to answer for his actions. here allwe do is sweep them under the carpet!

RESULTS...

In order of popularity compared to their rival....

Cornwall 92% (vs Cumbria 8%)
National Gallery 90% (vs Tate Modern 10%)
Cotswold 86% (vs Peak District 14%)
Scotland 85% (vs Ireland 15%)
Natural History Museum 83% (vs Science Museum 17%)
William 81% (vs Charles 19%)
Blair 73% (vs Bush 27%)
Blenheim Palace 70% (vs Buckingham Palace 30%)
Oxford 68% (vs Cambridge 32%)
Warwick Castle 64% (vs Windsor Castle 36%)
St.Paul's Cathedral 61%(vs Westminster Abbey 39%)
Chester 60% (vs Lincoln 40%)
London 59% (vs Paris 41%)
Selfridges 54% (vs Harrods 46%)
York 52% (Bath 48%)

Is it too late???

Paris
York
not a clue [NAC]
St.Pauls Cathedral
Scotland
Selfridges
Cambridge
NAC
Peak District
Cornwall
National Gallery
NAC
Prince William
Natural History Museum
Do I HAVE to?

I'll Bite....


Paris or London? I live in london - so Paris
York or Bath? York, much less touristy
Windsor Castle or Warwick Castle? Windsor - this really is a no contest
Westminster Abbey or St.Pauls Cathedral? St Pauls for the crypt alone
Scotland or Ireland? Scotland - Ireland is a themepark
Harrods or Selfridges? Selfridges, as they have a tattoo parlour
Oxford or Cambridge? Cambridge (another no contest)
Buckingham Palace or Blenheim Palace? Blenheim, you can see all of it, you only see a tiny bit of Buck House
Cotswolds or Peak District? Peak District - less twee
Cornwall or Cumbria? cornwall, after the public school holidays have finished
Tate Modern or National Gallery; National has everything; Tate is a more selective collection
Lincoln or Chester? Lincoln, chester is full of mickey mousers
Prince Charles or Prince William? As Prince William used to drink in my local I would have to plump for him (he's very tall)
Science Museum or Natural History Museum? Science has buttons to push. BEAT THAT!
Bush or Blair? Thatcher

why David, we are nearly the same in our opinions! great minds think alike.

;-)

Paris
York
Warwick
Westminster
Ireland
Blenheim
National Gallery
Chester
Prince William
Natural History Museum
Bush or Blair - can't stand either one but at least Blair has a brain.

London -- I can read the signs
York -- The Minster never ceases to delight
Windsor -- To see how the other half lives
St. Paul's -- The music is better
Ireland -- We may be able to sponge off relatives there
Harrods -- I can't stay out of the Christmas shop
Cambridge -- We studied there
Buckingham Palace -- See Windsor Castle
Cotswolds -- Castle Coombe
Cornwall -- Love the Palm trees
William -- He might be capable of learning
As a leader? As a mate? As a target in a pie throwing contest?

London
York
Warwick Castle
St.Pauls Cathedral
Scotland
Selfridges
Cambridge
Buckingham Palace
Peak District
Cumbria
National Gallery
Chester
Prince Charles
Science Museum
Blair ? but why worry?