8:59 - Derrown (in disguise as a senate guard): "What's your identification number?"
Senate Guard: "SG 1984."
Derrown: "Alright, move along, and stay sharp."
This exchange includes three bits of dialogue borrowed from A New Hope: an Imperial officer asks Han, "What's your operating number?" [1:15:41]; a sandtrooper in Mos Eisley, prompted by Obi-Wan's influence through the Force, tell Luke to "Move along. Move along." [43:51]; and Han says, "Stay sharp" twice, 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].
9:28 - Part of the fireworks display is apparently meant to resemble the opening crawl of the features:
10:31 - Hardeen (about his sniper rifle): "Blast! It's only good for one shot." Obi-Wan also says "Blast!" when Jango Fett ambushes him in Attack of the Clones ("Blast! This is why I hate flying!" [1:08:22]), and Luke says it twice in A New Hope: after R2-D2 disappears ("Blast it!" [26:49]) and when a TIE fighter is behind him during the Battle of Yavin ("Blast it, Biggs, where are you?" [1:49:09]).
14:06 - Cad Bane (after discovering that Hardeen was Obi-Wan in disguise): "Something smelled wrong about you from the start." While not exactly the same, this seems to be an echo of what Leia says to Tarkin in A New Hope: "I recognized your foul stench when I was brought on board" [57:17].
17:42 - The door opens to reveal Dooku at the end of a banquet table in the same way that Darth Vader is revealed in Cloud City in The Empire Strikes Back [1:28:20].
17:50 - Chancellor Palpatine: "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].
20:02 - Obi-Wan (to Anakin): "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]. 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].
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There are brief cues of the Imperial march at 15:18 (when Anakin expresses his anger that the Jedi council lied to him) and 17:31 (when he admits to the chancellor with some disdain that the plan to disguise Obi-Wan wasn't his).