The Die Hard DVD has a great little multi-angle feature in which you can create your own version of various scenes using alternate takes/angles. It's quite a bit of fun
It's one of those features that DVD was touted to have when the format was first introduced, but has rarely been utilized by producers. Just like the ability to switch between widescreen and full-frame on the same disc, or block out certain content, etc.
I think it's because they figured out these features take up space on a disc, space that could otherwise be used for other features that people want more on mainstream films--docs, commentaries, deleted scenes, etc. Multi-angles on a porno makes a perverted kind of sense; a director's commentary does not: "In this scene the script called for Miss Peaks to seduce Farmer Brown as he was tending to his chores in the dairy barn--but as you'll see here, she finds milking Betsy much more interesting. A gutsy move on her part, but I think it paid off from a creative standpoint..."
The US JoJo's Bizarre Adventure DVDs use multiple angles to show different versions of the credits (Original Japanese credits, Japanese credits translated into English, and English dub credits.)
Some Disney animated movies also use alternate angles in a similar manner. When there was a scene which had English writing on it, alternate versions were animated with the text in foreign languages. These alternate versions of the scenes are included on the DVD via alternate angles, and are selected depending on which language track you've selected.
Percebe, when a director working either for a major studio or as an independent makes a film, he or she prefers the film be made viewable in only version, though a "director's cut" may be made available on disc. A "multiple angles" extra for the DVD makes no sense.
However, if you want to see multiple angles in action, I hear that pornography may be what you would have to see. Your call.
My Apollo 11 DVD set has multiple angles in some parts. In it's case, when Apollo 11 lifted off there were five different cameras filming it, so I can watch the big Saturn V take off five different ways. Kind of neat.
Music DVDs occasionally use multiple angles. The most extensive I've seen comes with Phil Collins: Serious Hits ... Live! - 22 of its 24 songs present additional angles. Others have multiple angles for a few songs:
Collins First Final Farewell Tour Eurythmics Peacetour Who Kids Are Alright Nine Inch Nails and all that could have been Melissa Etheridge Live... and Alone
Mirrorball by Sarah McLachlin has multi-angles. The Greatest NBA Finals Moments also uses multi-angles that were available from the original TV broadcasts.
King Crimson's Deja Vrooom DVD has a couple tracks with multiple angles, highlighting each member of the band visually as well as a separate soundtrack for each that redirects that particular musician out of the center channel. Very impressive use of the multiple angle and multiple audio in one. It's a full frame title and includes both Dolby Digital 5.1 and dts.
...but that doesn't mean it can't be utilized in a number of ways. Such as an big explosion. You could use the Angle feature to view various camera angles then resume back to the movie.
Pet Shop Boys Montage is another concert using the angles. The alternate is a full length version of the concert using only the background images using during the performance.
Snow White and the Seven Dwarfs, Pinocchio, Dumbo, The Incredibles, and Fantasia 2000 have alternate angels for titles when you use an alternate language track. For Snow White, it not only has the credits in French, but the opening shot of the book, the intertitles, closeups of the queen's books, and even shots of the Dwarfs beds are from the French print.
Most of the (few) DVDs that I know of that use the angle feature do so for special features - Moulin Rouge allows you to watch some of the dance sequences with multiple cameras, it's often used for storyboard-to-film comparisons, etc.
The only discs that come to my mind that use alternate angles in the main feature are actually a few of the Doctor Who discs. On a select number of titles, (off the top of my head, Dalek Invasion of Earth, Ark in Space, Earthshock, Revelation of the Daleks) they replace some of the more dodgy effects with new CGI effects, and will insert them with the angle feature, rather than seamless branching. Of course, it's not possible to swap between the original and CGI versions using the angle button.
I know the Star Wars discs change the opening scroll depending on the subtitle language chosen. Is that done with branching or angle?
The "Star Wars" films use alternate angles to present the opening text crawls in various languages. The ability to use the angle feature to present alternate visual languages completely invalidates the replacement of burned-in subtitles in favor of player-generated ones. Studios like MGM act as if player-generated subs are the only way to achieve different subtitles for different audio tracks but studios like Buena Vista have been using the alternate angle feature to present their credit sequences in foreign languages for years.
Actually, most of the Spacecraft Films series include multi-angle launch sequences, not just Apollo 11. It's a nice feature, especially since the last angle is a composite of all of them at once (which is what I usually watch).
The LOTR 4-disc sets have great multi-angle looks at the development of certain scenes from the film (the forming of the fellowship on FOTR and the start of the Battle of Pelennor Fields on ROTK, among others).
In addition, the Spider-Man 2 DVD has a neat real-time multi-angle look at filming Spider-Man's confrontation with Doc Ock in the harbor.
The Planet Of The Apes (remake) has it in a doc somewhere. It's been awhile since I've watched it, so I can't pinpoint where it is, but it really is pretty cool.
Genesis: The Way We Walk is the best multi-angle disc in my collection. The insert has a sketch of the stage set-up at Earls Court and shows each camera position, and then lists which angles are available for which songs. My only gripe is that the boys chose to shoot this concert with standard definition 4:3 video cameras, when they had previously used early ED-Widescreen video cameras for concerts on their Invisible Touch tour.