1:29 - Hera: "To grow the rebellion, we need friends like these Mandalorians; we could have our route and a powerful ally as well." While speaking with the Emperor, Vader describes Luke the same way in The Empire Strikes Back: "If he could be turned, he could become a powerful ally" [53:56].
2:19 - Sabine (to Phoenix Squadron): "Everybody, stay sharp." Han says, "Stay sharp" twice in A New Hope, once to Chewbacca before making the jump to hyperspace away from Tatooine [56:08] and once to Luke shortly before the Death Star's sentry ships attack [1:34:15].
3:05 - Phoenix pilot: "I'm hit!" Obi-Wan says this in Revenge of the Sith after buzz droids land on his starfighter [5:23]. In A New Hope, this is said by a Rebel pilot ("I'm hit!" [1:48:06]), Luke ("I'm hit, but not bad" [1:48:48]), and Wedge ("I'm hit!" [1:54:32]). A rebel pilot also says, "I'm hit!" in Return of the Jedi [1:44:16].
3:20 - Hera: "Phoenix Squadron, take evasive action!" In The Empire Strikes Back, an Imperial officer also says, "Take evasive action!" [37:19]
6:17 - Kanan (to Sabine): "There's nothing you could have done." In A New Hope, Obi-Wan tells Luke this after he finds his aunt and uncle dead: "There's nothing you could have done, Luke, had you been there" [42:02]. After the duel between Vader and Obi-Wan in A New Hope, Leia tells Luke nearly the same thing: "There wasn't anything you could have done" [1:33:52].
6:40 - Sabine: "Fen Rau, the Protector of Concord Dawn. That's who did this. That's who we're up against." See above, 1:05.
6:59 - Commander Sato (about the Battle of Mygeeto): "That was a long time ago." Han uses the same expression in The Empire Strikes Back, after Chewbacca makes a comment that's evidently about something Han did to Lando in the past: "Well, that was a long time ago; I'm sure he's forgotten about that" [1:18:44]. The phrase "A long time ago" is also shown at the beginning of each of the movies.
10:01 - Kanan (to Sabine, surveying the Mandalorian base): "Well, what are we up against?" See above, 1:05.
10:15 - Kanan (to Sabine): "Now get down; they got company." Han uses a similar expression in A New Hope: "Luke, we're gonna have company!" [1:15:46].
12:39 - Fen Rau (about the Battle of Mygeeto): "That was a long time ago." See above, 6:59.
15:44 - Sabine: "I call out you, Fen Rau. You're gonna pay for what you did to Hera." In Attack of the Clones, Anakin says almost the same thing: "You're gonna pay for all the Jedi that you killed today, Dooku" [2:04:51].
17:03 - Sabine: "There are alternatives to killing." Obi-Wan makes a similar comment in A New Hope when he tells Han, "You can't win, but there are alternatives to fighting" [1:05:06].
20:01 - Mandalorian (to Fen Rau): "Sir, are you alright?" In The Phantom Menace, Anakin asks Qui-Gon, "Are you alright?" [1:17:31] and Padmé asks Anakin, "You alright?" [1:19:06]. In Attack of the Clones, Padmé asks Anakin, "Ani, are you alright?" [50:02], and later a clone trooper asks Padmé, "Are you alright?" [2:05:54]. In Revenge of the Sith, Anakin asks the Chancellor, "Are you alright?"[11:49], and a bit later, Mace Windu asks him, "Chancellor Palpatine, are you alright?" [24:53]. Padmé also asks Anakin, "Are you alright?" [1:27:59]. In A New Hope, Luke asks Obi-Wan this [59:16] and Biggs asks Luke [1:46:44], and in The Empire Strikes Back, Luke asks, "Rogue Two, are you alright?" [30:31]. Twice in The Empire Strikes Back, Han asks this with a shortened "You alright?" once to Luke [22:12] and once to Leia [31:39]. Luke also asks Han, "Are you alright?" when they're captured by Jabba in Return of the Jedi [28:31].
20:21 - Mandalorian (acquiesing to Rau's orders): "As you wish." The phrase "As you wish" occurs a number of times in the original trilogy: in A New Hope, Vader says it after Tarkin asks him to release General Motti from his Force choke [38:45]; in The Empire Strikes Back, Boba Fett says it after Vader warns the bounty hunters against disintegrations [1:06:22]; in Return of the Jedi, Vader says it twice more in conversations with the Emperor [39:16 and 1:07:38], and Admiral Piett says it to Vader ("As you wish, my lord") [56:13]. In The Phantom Menace, Nute Gunray says, "As you wish" at the end of a conversation with Darth Sidious [5:04], and in Revenge of the Sith, Captain Typho says, "As you wish, my lady," to Padmé [1:41:23].