The first scene is when Baltar is framing Doral for being a Cylon agent**. The acting from everyone in this bit is just spot on, from Tigh's smug expression to Baltar's babbling to Head Six's amusement/confusion to Doral's freaking the fuck out. I love watching Baltar trying to figure out, stream of consciousness style, a way to throw the guilty scent off of himself, although at this point, it's simply paranoia since no one has any reason to suspect that he had anything to do with the initial Cylon attack.
I have such a hard time trying to view the series through the eyes of a newbie, since I've rewatched every episode a ridiculous number of times. I see the sad irony of Tigh being one of the Final Five and know that Baltar miraculously turns into a sort of one-god-only saint by the end, albeit with his trademark self-preservation instinct for the most part in tact. I recognize that Doral turns out to be a calculating, bloodthirsty prick that forces Baltar to sign off on the execution of several fellow humans. It's a bit chilling to look at Battlestar Galactica in terms of the whole picture, but I actually have a greater appreciation for it that way.
Anyway, moving onto the second scene. This one was up there partially because I found it so hilarious. It's near the end of the episode, just before the big escape/battle from Ragnar anchorage; Adama, Lee, Tigh, and Gaeta are standing in the CIC, discussing war strategy, and Adama, fresh off talking to an adamant President Roslin, witnesses Billy (yay!!) and Dee flirting at her station. Lee and Tigh argue about leaving the civilians while they go fight the Cylons, and when it's time for Adama to speak, he goes with, "We better start having babies." (Tigh's quip - "Is that an order?" - is probably one of the best responses ever.) Lee and his father final start agreeing on things, although that's obviously short-lived because Lee is a whiny brat, and everyone ultimately decides that they've lost the war and need to think about survival.
Despite the humorous nature of the scene, what really stuck out to me was Roslin's effect on Adama. Her perspective on the situation is so much more expansive, so much more adaptable and realistic, and he fights it with his very being up until that moment in the CIC. There's a change in the Commander, where he realizes that his petty obsession with revenge could ultimately cause the entire human race to be wiped out. It brings us back to his earlier speech when the Galactica was being decommissioned, where he asked if the human race deserved to be saved? It's obvious that he has decided that, yes, it is, and that is a powerful statement.
Alrighty, that's that! Get ready for tomorrow, my favorite scene from the entire first season!
* I nearly combined all of the bits in which Baltar was talking to Head Six and then was abruptly brought back to reality by some outside force, either by him snapping out of it or by someone interrupting him, but that kind of runs throughout the series, particularly in the first two seasons, so I decided against it. Even though they are so fucking funny.