Agreed on "The Corbomite Manuever" for Kirk. "RISK. IS. OUR. BUSINESS!!!!!", though memorable and even close, was going quite a bit much even for him.
For Picard I think I would actually go with real unusual choice, with when he is willing to go opposite of Kirk. "Q Who", "You wanted me to say I need you? I NEED YOU!" He is great and the show is great because he is willing to admit, the show is willing to have him have to admit, that he can't win them all, sometimes you can't, you just have to make deal, compromise even when you really don't want to.
Sisko probably his personal outrage at Eddington, "You betrayed your uniform!"
Janeway probably kind of not herself but the end of "The '37s" when apparently absolutely no one wants to leave the ship, they are all completely behind and for her.
For Picard I think I would actually go with real unusual choice, with when he is willing to go opposite of Kirk. "Q Who", "You wanted me to say I need you? I NEED YOU!" He is great and the show is great because he is willing to admit, the show is willing to have him have to admit, that he can't win them all, sometimes you can't, you just have to make deal, compromise even when you really don't want to.
Sisko probably his personal outrage at Eddington, "You betrayed your uniform!"
Janeway probably kind of not herself but the end of "The '37s" when apparently absolutely no one wants to leave the ship, they are all completely behind and for her.