The trailer includes all of the characters mentioned on Saturday as well as two who were missed in the list.
Here is a list of things I've noticed. I've linked to forum posts where other people beat me to it!
Ieyasu (with Tadakatsu)
Stage: Yoshiteru's, based on the enemy flags. The stage seems to have at least three sub-bosses. It doesn't look anything like Yoshiteru's casino stage which was shown in Weekly Famitsu a while ago, though this one has turned up before in Katsuie's gameplay introduction in the first character gameplay video (English subtitled version) a while back.
Tadakatsu (with Ieyasu)
Stage: Oda army, but with Mitsuhide's forces. The stage has some kind of gauge with flags. It was also seen in the Masamune segment of the previous video.
Kojuurou (with Masamune)
Stage: Takeda army. There's a large clearing in the north, a padlock and a strange semicircle of clear orbs at the top of the screen (a weather gauge?). One boss can be seen.
Update 12/11/2013: It has been suggested by Balder and Mewshuji that this might be a glimpse of a Kawanakajima stage. I wish it was possible to see the full map in the video!
Sasuke (with Yukimura)
Stage: Shikanosuke's Amago army. The stage has some targets marked with pink crests and some of the bases have different icons - I believe that this indicates that they've been upgraded to two-tier or three-tier camps. The same stage was shown before in Mitsunari's gameplay introduction.
Magoichi (with Tsuruhime)
Stage: This looks like the Honnouji stage with Nobunaga's forces fighting Mitsuhide's. One of the Oda army's soldiers mentions Nouhime-sama by name in a line of dialogue (via BlackKite).
Tsuruhime (with Magoichi)
Stage: Motochika's based on the flags and enemy names.
Kanbee (with Yoshitsugu)
Stage: Presumably Kingo's based on the flags, though it looks amazing.
Hideaki (with Tenkai)
Stage: The gauge at the top of the screen has the Ishida crest behind it. I think the red text might say 'Western Army', which strongly indicates that this is a Sekigahara stage.
Tenkai (with Hideaki)
Stage: I have no idea...there seem to be two large structures on the map. Are they vehicles?
Nobunaga (with Oichi)
Stage: A Toyotomi castle. Possibly the encounter they're calling Osaka: Toyotomi Hajou?
Oichi (with Nagamasa)
Stage: This looks like the same stage as the previous one except now both the Date and Takeda forces are present instead of the Toyotomi.
Shikanosuke and Oyassan (with Naotora)
Stage: The Shimazu forces can be seen. The map is missing, the climate looks warm and there's just one boss so this looks like a classic Yoshihiro encounter. After the first gate is open, some kind of fleeing objective opens up. This stage has been shown a few times before.
Notes: Oyassan's dialogue is really cute, and you can take control of him! Also, Shikanosuke's kill counter is actually recording how many people he has 'investigated' in his search (via Intrepid Wanderer).
Nagamasa (with Oichi)
Stage: Are there four different enemy bosses, all from different armies? Nobunaga is there and one of the messages refers to penetrating the first Azuchi Demon Gate so I'm going to make a guess that this is the Azuchi-Shiten Gathering encounter. Hideyoshi's forces can also be seen. I wonder if this is going to be a Yoshiteru/Nobunaga/Hideyoshi/Ieyasu stage to go with the split-screen picture of the four together which keeps appearing in magazine articles?
Notes: We can see Nagamasa charging up his 'Power of Justice' right at the start.
Matabee (with Tsuruhime)
Stage: Masamune's - the same one they showed with Yukimura in the previous character gameplay video.
Notes: Like Shikanosuke (and a few older characters), Matabee has a special kill counter. His records how many people he has 'executed'. I really like Matabee.
Since there are only four playable characters unaccounted for with this huge gameplay trailer (Keiji, Motochika, Hideyoshi and Hanbee, if I'm not mistaken), I'm guessing it will be a while before we get the third in the series. It's certainly not likely to feature at this weekend's handshake event.
Instead, my guess is that we'll see a followup to the first general gameplay 'handbook' video (English subtitled version). That one was described as being a simple introduction to the game system, so perhaps next week we'll see some of the more advanced techniques?