filmmusic

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I would prefer Nixon.

A gem of a film, and a masterpiece of soundtrack by Michael Nyman.
I saw this when it first came out in theaters, just randomly, unaware about its plot.
The 4k UHD comes highly recommended!

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Of course I know them, and I love them too!

I don't know what exactly you want to do but i use this free extension for chrome, and I can have access to sites that normally i wouldn't due to country restrictions:
https://chrome.google.com/webstore/detail/free-vpn-for-chrome-vpn-p/majdfhpaihoncoakbjgbdhglocklcgno

Better than V, that's for sure, but still it felt like a long TV episode. Great score though. (Where is Cliff Eidelman?)Anyway..My final ranking would be:
II-I-VI-IV-III-V
Something like this perhaps...

His oscar nomintaed scores I think are not among the best efforts he has done, with the exception of The Village which is exceptional. His best works have been mostly unrecognized in the awards circuit, but if you liked parts of Defiance I definitely recommend checking out The Village and A Hidden Life, which are two of his most beautiful scores, and a big highlight in his career.
 
If you're looking for something more bombastic and fantasy oriented but still beautiful and emotional, I would say Lady in the Water, Maleficent or even the first Fantastic Beasts score are safe bets. This is just to name a few, but I think he has some really great work, even though he has also done some more average scores. His scores for Disney animated movies are also great!

If you'd watched it between IV and V it would have been chronological.

There's 3 things you can hear in the film that are not on the set. 
 
3 very minor, very short things.
 
 
1st up is "Shawm", a source music cue you can hear from 0:00-1:06 in this video (the score cue it overlaps with, heard from 0:44-end of the video, IS on the set)
 
 
 
Next up is a very short drum & tambourine passage that I can't find on youtube, but it plays after the Buckbeak scene and before the ghost knights bust through the stained glass window
 
And finally is a difference performance of the "Sir Cadogan" cue, where it was played at a slower tempo and there was drum and tambourine playing along with it.  You can hear it from 0:00-0:19 of this video
 
 
 
And then there is one piece of music that appeared in DVD bonus features but not the OST, LLL, or the film itself:  The original version of "Marge Points The Finger", which got replaced by a revision in the film, and that revision is what's on the LLL set. 
 
The original version is heard from 1:20-1:28 of this video
 
 
 
 
That's literally it in terms what what we know was recorded.
 
 
 
As for what might have been recorded, but we have no evidence of?  Well, there are at least SEVENTEEN things found in the sheet music  that we don't have recordings of.
 
You can see them all listed out in my google doc, at the bottom of the "Complete Cue List" tab
 
https://docs.google.com/spreadsheets/d/1R7JM5QmRNh6PbgqeBH_lbj2C3WLbzxz9px3Z7GKLaAk/
 
You will also find links in that section to videos in which mockups of those exclusive sheet music passages are synced to film footage

If only it had a beautiful untealed grainy 4k UHD release too. But nooooooo....
(thank God for 35mm fan scans which preserve the original look)
 

 
I love this movie. Not as much as Bram Stoker's Dracula, but still it's an excellent piece of cinematic direction, and I don't understand why some people hate it.
It has a great score, cinematography, sets, costumes, make-up etc., a very good performance by DeNiro and I love the overly melodramatic tone.
The Arrow 4k UHD comes highly recommended!

It is awful.
Watch the extended cut. It's a fracking masterpiece.

or Once upon a time in America. I haven't seen the film but I hear the US theatrical cut is awful.

I adore this movie.  I'll never forget going in blindly spoiler free after that wonderful Teaser with the factory building the T-800.  I had no idea Arnold would be the "good guy".  My eyes popped out and my jaw dropped several times.
 
If you watch it 4 times a year, try the 3D version on a projector.  It slaps.

If only it had a beautiful untealed grainy 4k UHD release too. But nooooooo....
(thank God for 35mm fan scans which preserve the original look)
 

 
I love this movie. Not as much as Bram Stoker's Dracula, but still it's an excellent piece of cinematic direction, and I don't understand why some people hate it.
It has a great score, cinematography, sets, costumes, make-up etc., a very good performance by DeNiro and I love the overly melodramatic tone.
The Arrow 4k UHD comes highly recommended!

Hey, I'd prefer Goblet of Fire before a few missing Azkaban cues. Or a Desplat box set would be beautiful. I just think it's a shame that the studio couldn't (wouldn't?) locate its own music the first (only?) time around.
It's not the most iconic scene, but it's been made famous by discussion on this forum about shawm music. The music itself is pretty distinctive, however. There are more cues missing for sure, some of which have been identified by name, but I do not remember them. Let me do some digging, I'll come back to my own topic more informed.  
 
Also, there are apparently several cues that made it to the DVD special features menu but not the soundtrack, and I have no idea how that happened. So technically to have the most complete score collection, you should buy a used copy of the 2-disc DVD from your local thrift store and play through the old DVD mini-games to hear the maximum John Williams content.