All universes [mostly TOS and the new alternate Kirk, though, maybe a tiny bit of Picard]

Link Dump:

TOS

Title: Her Five-Year Mission
Author: inkedinserendipity
Summary: It’s “Bring Your Kid to Work” day. Admittedly, Jim had forgotten that he’d even signed off on the holiday request, and it probably breaks about fifty Starfleet regulations, inviting kids aboard a starship. But somehow…he doesn’t regret a thing. Or: Sulu brings his kid aboard, and everyone melts.
Rated: Fiction K

AOS

Title: Linguistic Ambiguities in Vulcan Ethical Codes
Author: elumish
Summary: The thing people always forget is that it was a Vulcan ship that reached Tarsus IV first.
Sequel: Infinite Diversity in Infinite Combinations
Summary: Kirk 619s as soon as the comm ends. Notes:
This is a sequel to Linguistic Ambiguities in Vulcan Ethical Codes, though it should work as a standalone. All you really need to know is that after Tarsus IV Kirk was raised on a Vulcan research ship for a few years.

NG

Title: Locutus of Borg
Author: BenRG
Summary: The Borg Invasion of 2366 was one of the most terrible moments in Federation History. We know what it was like from the perspective of the crew of the Enterprise, but what was the view from the other side?
Rated: Fiction K+