4:44 - Ezra: "Hello there!"
Captain Seevor: "Pirate scum!"
"Hello, there" is also Obi-Wan's greeting to General Grievous in Revenge of the Sith [57:30] and to R2-D2 in A New Hope [30:07], and insults involving scum also appear in The Phantom Menace (before the podrace, Sebulba tells Anakin in Huttese, "You won't walk away from this one, you slave scum" [57:20]), Revenge of the Sith (General Grievous calls Anakin "Jedi scum" [19:12]), The Empire Strikes Back (Admiral Piett remarks, "Bounty hunters!? We don't need their scum." [1:05:52]), and Return of the Jedi (an Imperial officer says, "You rebel scum" [1:33:51]).
6:13 - Mining Guild HQ: "Is this operator 94-34?" The number 94 also appears in A New Hope; after making an agreement with Obi-Wan, Han tells him, "We'll leave as soon as you're ready. Docking bay 94." [49:17].
12:46 - Ezra (upon finding Vizago): "Vizago? I don't believe it." Luke also says, "I don't, I don't believe it" in The Empire Strikes Back, after Yoda uses the Force to get his X-wing out of the swamp [1:13:10].
14:14 - Vizago (posing as the captain of the crawler): "This is the captain, uh, 93-94." See above, 6:13.
14:25 - Vizago: "Eh, we're having a maintenance issue and, uh, lost our security codes, uh, but everything is under control." In Revenge of the Sith, a clone trooper tells Senator Organa, "Don't worry; the situation is under control" [1:24:35], and in A New Hope, Han makes the same claim twice, once to an Imperial officer ("Uh, everything's under control, situation normal" [1:15:18]) and once to Leia ("I had everything under control till you led us down here" [1:19:37]).
15:10 - Vizago (to a stormtrooper): "I told you everything was under control." See above, 14:25.
17:12 - Captain Seevor (to the Rebels): "Patch me through to the Empire, or I will destroy this crawler, you pirate scum." See above, 4:44.
17:55 - Kanan (to the comlink to Sabine): "Ugh, I can't cut through [the refinery doors] either; they're magnetically sealed." In A New Hope, Luke makes nearly the same comment about the egress in the trash compactor: "It's magnetically sealed" [1:19:31].
21:02 - Sabine: "We're receiving a transmission." In The Phantom Menace, a Naboo crewman tells Captain Panaka nearly the same thing via comlink, "Receiving a message from home" [37:23], and in Revenge of the Sith, Captain Colton tells Senator Organa, "We're receiving a message from the Chancellor's office, sir" [1:31:44].