The MemAlpha page for
weddings has some similar-but-not-identical ones. The only one in nuTrek, not yet mentioned there, is the SNW Season 1 finale -- which was literally an alternate version of "Balance of Terror", a well-intended homage with divisive results (for instance, I loved it, Wowbagger hated it).
[ED: A very similar speech was used in the S3 finale of The Orville, too.]
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FiveMinute.net: because stuff is long and life is short
[03:17]
FiveMinZeke: Galactica clearly needs the advanced technology of
scissors, which get around the whole "yanking on your follicles" problem.
[03:17]
IJD: cylons can hack any blades working in conjunction