Man, that is a tough ask to get it down to 10. I will start exercise with trying to get the contenders. Down to 3 or so per year, if I can. Then picking ones I feel strongly about.
Then let me see how many that is & go from there.
Disco:
S1, E3: Context Is For Kings
S1, S4: The Butcher's Knife Cares Not For The Lamb's Cry
S1, E5: Choose Your Pain
S1: E6: Magic To Make The Sanest Man Go Mad
S1, E8: Si Vis Pacem, Para Bellum
S1, E9: Into the Forest I Go
S2, E2: New Eden
S2, E3: Point of Light
S2, E4: An Obol for Charon
S2, E8: If Memory Serves
S3, E4: Forget Me Not
S3, E5: Die Trying
S3, E10: Terra Firma, Pt. 2
S4 E3: Choose To Live
S4, E7: But To Connect...
S4, E12: Species 10-C
S4, E13: Coming Home
Picard:
S1, E4: Absolute Candor
S1, E6: The Impossible Box
S1, E7: Nepenthe
S1, E8: Broken Pieces
S2, E1: The Stargazer
S2, E10: Farewell
S3, E4: No Win Scenario
S3, E5: Imposters
S3, E6: The Bounty
S3, E8: Surrender
S3, E9: Vox
S4, E10: The Last Generation
Short Treks
S1, E2: Calypso
S1, E3: The Brightest Star
S1, E4: The Escape Artist
S2, E1: Q&A
Lower Decks:
S1, E4: Moist Vessel
S1, E6: Terminal Provocations
S1, E8: Veritas
S1, E9: Crisis Point
S2, E8: "I, Excretus"
S2, E9: wej Duj
S2, E10: First First Contact
S3: E5: Refelections
S3, E6: Hear All, Trust Nothing
S3, E9: Trusted Sources
S3, E10: The Stars at Night
Prodigy:
S1, E4: Dream Catcher
S1, E5: Terror Firma
S1, E6: Kobayashi
S1, E8: Time Amok
S1, E9-10: A Moral Star, pts 1&2
S1, E15: Masquerade
S1, E18: Mindwalk
S1, E19-20: Supernova Pts 1&2
SNW:
S1, E2: Children of the Comet
S1, E3: Ghosts of Illyria
S1, E4: Momento Mori
S1, E5: Spock Amok
S1, E6: Lift Us Up Where Suffering Cannot Reach
S1, E9: All Those Who Wander
S1, E10: A Quality of Mercy
S2, E2: "Ad Astra per Aspera"
S2, E3: Tomorrow and Tomorrow and Tomorrow
S2, E5: Charades
S2, E6: Lost In Translation
S2, E7: Those Old Scientists
S2, E8: Under The Cloak of War
S3, E9: Subspace Rhapsody
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So, I got it down to:
Disco = 11
Picard = 9
Short Treks = 1
Lower Decks = 6
Prodigy = 3/4 (1 two parter)
Strange New Worlds = 10
So, I ended up with Casey Kasem with an even 40. Not even close. And I am sure I missed some (Lethe?)
I feel these HAVE to be there. If I had to pick ONE from each show:
1. Disco: S2, E8: If Memory Serves
2. Picard: Nepenthe
3. Short Treks: Calypso
4. Lower Decks: wej Duj
5. Prodigy: Time Amok
6. SNW, E2, S2: "Ad Astra per Aspera"
Picking another from each is tougher. And I could change my mind on a couple firsts. Though I am pretty firm on DISCO, Short Treks, and SNW.
Paring it down a bit more:
Disco:
Into The Forest I Go
New Eden
But To Connect
Species 10-C
Going Home
Picard:
Absolute Candor
No Win Scenario
Imposters
Surrender
Vox
The Last Generation
ST:
None really in this class
LD:
Crisis Point
First First Contact
Hear All, Trust Nothing
Trusted Sources
The Stars At Night
PRO:
Kobayasi
A Moral Star, Pts 1&2
SNW:
Momento Mori
Spock Amok
Lift Us Up Where Suffering Cannot Reach
Charades
Thosr Old Scientists
Under The Cloak of War
Subspace Rhapsody
25 is the best I can do. Final 4?
Momento Mori
Lift Us Up Where Suffering Cannon Reach
But To Connect
The Last Generation