Part I
2:06 - Commandant Aresko (to stormtroopers, referring to a merchant): "Take him away." In The Phantom Menace, Nute Gunray commands, "Take him away," to a pair of battle droids, referring to Sio Bibble [1:18:19], and in Attack of the Clone, Jango Fett says, "Take him away" to battle droids, referring to Anakin [1:42:30].
2:18 - Taskmaster Grint (to Ezra): "Move along, Loth-rat." In A New Hope, a sandtrooper says the same thing when, prompted by Obi-Wan's influence through the Force, he directs Luke into Mos Eisley: "Move along. Move along." [43:51].
5:30 - Sabine (to Ezra): "Good luck!" In The Empire Strikes Back, an unidentified Rebel pilot wishes Luke good luck [36:02] and Luke wishes Lando good luck [2:00:09], and in Return of the Jedi, Han and Lando wish each other good luck [Han to Lando at 50:33 and Lando to Han at 52:21].
5:54 - Screenshots don't do justice to the dynamics here, but this shot has the same basic composition as a shot in Return of the Jedi [59:34]. The camera pans with the rebels' speeders (Ezra, Kanan, and Zeb in this episode; Luke and Leia in the movie) and then stops to reveal two Imperial troopers already mounted on speeder bikes who take off in pursuit.
6:21 - Zeb suddenly slows his speeder bike so that the Imperial troops who were chasing him pass him, which is what Luke does in Return of the Jedi [59:47].
6:27 - Imperial trooper (after Kanan feigns giving up): "What the?" In Attack of the Clones, an alien on Coruscant makes this same exclamation as he sees Obi-Wan flying through traffic while hanging from a droid [15:08]; Han Solo says it in A New Hope after emerging from hyperspace into a meteor shower [1:03:15], and in Return of the Jedi, a scout trooper says this after being hit by Wicket [1:05:38].
Part II
0:49 - The symbol on the door in the Imperial cruiser also appears in Echo Base in The Empire Strikes Back [33:36], and these particular shots even have a similar composition:
1:05 - Ezra (to Kanan and Zeb): "It's a trap! We gotta get out of here; it's a trap!" Admiral Ackbar says, "It's a trap!" in Return of the Jedi [1:35:03], and Leia says it twice in The Empire Strikes Back [1:39:50].
1:42 - Stormtrooper (after the artificial gravity is turned off): "What the?" See above, 6:27.
4:43 - Agent Kallus (to Ezra): "You're here to be used as bait upon our return to Lothal." Obi-Wan uses the same expression in Attack of the Clones (speaking to Anakin, referring to Padmé): "You're using her as bait" [11:22].
7:56 - Ezra (after hearing that the Rebel ship has returned): "They came back! I don't believe it." The context is quite different, but 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].
15:42 - Wilhelm scream (stormtrooper)
16:14 - Ezra (to Kallus): "I don't know where you get your delusions, buckethead; I work alone." Leia has a similar line in The Empire Strikes Back, talking to Han: "I don't know where you get your delusions, laser brain" [17:20].
19:00 - The color palette is simpler, but in Ezra's home there are a few hexagonal panels like those seen in the homestead garage in Attack of the Clones and A New Hope:
19:10 - Kanan (to Ezra): "The Force is everywhere. It surrounds us and penetrates us. It binds the galaxy together." Obi-Wan similarly describes the Force in A New Hope: "It's an energy field created by all living things. It surrounds us and penetrates us. It binds the galaxy together." [34:41].
20:35 - Obi-Wan (in a holocron recording): "And in time a new hope will emerge." This is obvious, but I'll note it anyway: "a new hope" is also the title of the first movie.