6:16 - Chopper hits the Separatist shuttle to get it working again, which is the same thing that Han does with the Millennium Falcon in The Empire Strikes Back [35:07].
10:08 - Kanan (after destroyer droids appear): "Ezra, get back; they're too dangerous." Obi-Wan makes the same comment as Luke rushes back to the farm in A New Hope: "It's too dangerous!" [39:52].
12:14 - Kanan (to Rex): "You alright?" In The Phantom Menace, Padmé asks Anakin this [1:19:06], and in The Empire Strikes Back, Han asks this twice, once to Luke [22:12] and once to Leia [31:39].
19:12 - Ezra: "Get to the ships!" Padmé says almost the same thing to the Naboo pilots in The Phantom Menace: "Get to your ships!" [1:47:08]