There are countless amazing ones but just curious if there are any that are burrowed in deep and won't leave. For me there are two.
"The first duty of every Starfleet officer is to the truth, whether scientific truth, historical truth or personal truth. It is the guiding principle on which Starfleet is based so if you can't find it within yourself to stand up for the truth then you don't deserve to wear that uniform." -Picard
"‘Why me?’ It’s the question you ask yourself every morning and every evening. No one else gets a second chance so why me? That led you to the idea that there was a reason for your survival, a purpose you’re meant to fulfill, right here, right now. And that led you to a savior complex because if there is no reason, if there is no purpose, then your very existence is a middle finger to anyone who has ever lost someone. Which is everyone. How’s that for brutal honesty?" -Kovich
That's my personal favorite. It's something I didn't hear when I was younger, so now I try to recall it when I realize I am being too hard on myself. The fact that it's a Picard quote makes it more reassuring, if not comforting in a way.
You know, there are some words I've known since I was a schoolboy: "With the first link, the chain is forged. The first speech censured, the first thought forbidden, the first freedom denied, chains us all irrevocably." Those words were uttered by Judge Aaron Satie, as wisdom and warning. The first time any man's freedom is trodden on, we're all damaged.
I had to decide between the Kovich line and this one. Both are stuck in my head and I can so easily quote. This is just so damn good. Not to mention truthful
There are creatures in the universe who would consider you the ultimate achievement, android. No feelings, no emotions, no pain... And yet you covet those qualities of humanity. Believe me, you're missing nothing. But if it means anything to you - you're a better human than I.
This, but not even in a joking way; In The Pale Moonlight was my late best friend's favourite episode of Trek, and I watched DS9 with him. This line will always make me think of him
"Sir, it is I who has jeopardized our friendship, not you. If you will overlook this incident I would like to continue to consider you my friend."
It's not one of the more popular ones because it's not something you can quote in specific situations. I like the conversation a lot because it shows that sometimes people make mistakes and not every contradiction or error has to be a friendship ending event. In fact, you can admit fault, ask for forgiveness, learn from the mistake, and work together to move on.
I could tell watching it that Worf didn't not respect Data, but his familiarity with him and the habit of freely speaking his mind around him was the reason behind his behavior. Unfortunately, that doesn't work when the chain of command has to work in a particular way. I think Data also handled it extremely well: he pulled his XO aside, and briefly but clearly spoke his piece. One person made a mistake, and both worked together to fix it.
I've tried to do the same at work. I like my coworkers and I'm a friendly guy so we banter and joke and all that, but if I raise an issue more than once and they don't seem to internalize it, then I do the same thing. I pull them aside, we have a chat, and work it out together. I'm not interested in starting shit, or scolding another grown person, we're trying to solve a problem together.
It really is a fantastic line. Especially considering how human it is while neither person involved is fully human. I do love that scene. It's in my playlist of favorite Trek moments too for the same reasons as you <3
I have a whole note of memorable ones i keep, but the one that i come back to the most is riker's "i dream of a galaxy where your eyes are the stars and the universe worships the night" and the following exchange.