1:36 - Anakin (to Ahsoka): "Don't get cocky." In A New Hope, Han says this to Luke after he shoots one of the Death Star's sentry ships: "Great, kid! Don't get cocky." [1:35:27].
3:15 - Anakin (to the clone troopers): "Steady, steady. Wait for my move." In The Phantom Menace, Jar Jar also says, "Steady, steady" (but to the Gungan soldiers) [1:48:30].
5:02 - Anakin: "Where could she [Ahsoka] be?" Luke has a similar line in A New Hope as he's trying to raise C-3PO on his comlink: "Where could he be?" [1:22:12 and 1:23:19], and C-3PO himself has a similar line a bit later in A New Hope: "Where could they be?" [1:29:33].
12:23 - Jinx (to Ahsoka): "There were other Padawans here that once thought as you do now." This bears some similarity to what Vader says to Luke in Return of the Jedi: "Obi-Wan once thought as you do" [1:24:48].
20:12 - Kalifa - "Please, Ahsoka, leave me." As he's dying, Anakin says basically the same thing (to Luke) in Return of the Jedi: "Now, go, my son, leave me" [2:00:45].