Episode Details

LD 3×07 A Mathematically Perfect Redemption (Memory Alpha)
LD 1×10 No Small Parts (Memory Alpha)
Wilson the volleyball head from Cast Away (BBC)
Avatar (IMDB)
You're the Worst (TVDB)

TOS 3×21 Requiem for Methuselah (Memory Alpha)
TOS 1×28 The City on the Edge of Forever (Memory Alpha)
Freshly Remember'd: Kirk Drift (Strange Horizons)
Random Trek #101: Requiem for Methuselah (TOS) with Jason Snell (The Incomparable)

TOS 3×10 For the World is Hollow and I Have Touched the Sky (Memory Alpha)
TOS 3×20 The Way to Eden (Memory Alpha)

TOS Season 3 lightning round:
TOS 3×03 The Paradise Syndrome (Memory Alpha)
TOS 3×23 All Our Yesterdays (Memory Alpha)
Yesterday's Son (Memory Alpha)
TOS 3×04 The Enterprise Incident (Memory Alpha)

TNG 4×23 The Host (Memory Alpha)
The Curse of Fatal Death – Doctor Who Comic Relief Special (YouTube)
DS9 4×06 Rejoined (Memory Alpha)

TNG 7×14 Sub Rosa (Memory Alpha)
Anaphasic lifeform (Memory Alpha)

Honourable mentions:
TNG 5×17 The Outcast (Memory Alpha)
VOY 5×17 The Disease (Memory Alpha)
Ash Tyler (Memory Alpha)

Jason Snell:
Six Colors
Vulcan Hello (The Incomparable)
Random Trek (The Incomparable)

Music: Distänt Mind, Brigitte Handley