A throwaway line about Professor Guill's history being dull, or about a date with Carol.
A scene idea:
Kirk is on the academy grounds, seen talking to a blonde girl in civilian clothing.
In the foreground, McCoy waves.
McCoy (shouts): Jim !!!!
Kirk sees McCoy, waves.
McCoy (Shouts): Jim, we'll be late.
Kirk then jogs over towards McCoy, and looks back, waving at the girl, who then smiles and walks off.
McCoy: You dating Carol?
Kirk: You know her?
McCoy: She works as a technician in the medical lab.
Kirk: Gary introduced us.
McCoy: Mitchell?
Kirk: The same.
McCoy: I heard you were trying to get into the simulator files.
Kirk: I need to change them.
McCoy: You're cheating. I don't like this Jim. You can't just change life.
Kirk: Yes I can. I have to. Besides, that's what YOU do every day, Bones.
McCoy: That's different. I'm saving lives.
Kirk: I'm creating my own destiny.
McCoy: You're risking your career, and I want no part of it. You want my advice, just go through the test and see how they assess you.
Kirk: Sorry bones. I don't like to loose.
That would be perfectly fine... my only quibble with it is that it seems a bit too... "overt?"... in the references. In other words, that's probably too many references slammed into a single under-one-minute bit of dialog.
Other than that, however, it IS a great example of how these things could be used in-story without getting too ... "fannish?" Spread your lines out across several scenes and it'd be just about right.
I'd like to add to that scene:
McCoy: By the way, how's your brother?
Kirk: Do you mean George -- well, I call him Sam -- the one that looks like me except for the cheesey mustache?
McCoy: Yeah, that's him.
Kirk: He and his wife just had a son; they named him Peter.
McCoy: Contratulations Uncle Jimmy!
Kirk: Thanks. Hey Bones, are you getting serious with that Nancy-whats-her-name...the one who calls you "Plum".
McCoy: I'd like to, but she seems dedicated to her career. She keeps talking about this other archaeologist, Dr. Robert Crater. Boy, she must really be into archaeology because she keeps talking about him.
Kirk: Yeah -- right -- it must be that.
Bones:
[Realizing what Kirk meant, and quickly changes subject] How did get that black eye, anyway, Jim -- do you want me to give you something for it?
Kirk: No, it's OK...I got in another fight with that a-hole Finnegan. I'd like to lay a smackdown on that skinny laughing-boy someday.
Bones: Maybe someday...Well I gotta go and give my daughter Joanna a call.
Kirk: OK, see ya Bones...Oh, and if you happen to see Gary Mitchell, make sure you don't let on what my real middle name is. I think I got him convinced that it's "Rumplestiltskin".
Bones: Ha Ha! Rumplestiltskin! Well, I think I like that better than "Tiberius".
Kirk: Very funny, Horatio.
EDIT TO ADD:
I'm not making fun of you,
OneBuckFilms...just trying to have a little fun (albeit at the expense of your post). I DO agree with the basic premise of your post.