Brood War

Escape from Aiur

Episode IV, mission 1.

Dunes of Shakuras

Episode IV, mission 2.

Legacy of the Xel'Naga

Episode IV, mission 3. Holds one of the eight hidden cheats — the white flag on the outlying island.

The Quest for Uraj

Episode IV, mission 4.

The Battle of Braxis

Episode IV, mission 5.

Return to Char

Episode IV, mission 6.

The Insurgent

Episode IV, mission 7.

Countdown

Episode IV, mission 8 — the end of the Protoss episode.

First Strike (Brood War)

Episode V, mission 1. Not the Episode III mission of the same name.

The Dylarian Shipyards

Episode V, mission 2.

Ruins of Tarsonis

Episode V, mission 3.

Assault on Korhal

Episode V, mission 4.

Emperor's Fall (Ground Zero)

Episode V, mission 5A.

Emperor's Fall (Birds of War)

Episode V, mission 5B — the second half of mission 5.

Emperor's Flight

Episode V, mission 6.

Patriot's Blood

Episode V, mission 7. Holds one of the eight hidden cheats — the caged Ursadon.

To Chain the Beast

Episode V, mission 8 — the end of the Terran episode.

Vile Disruption

Episode VI, mission 1. Holds one of the eight hidden cheats — the data disc by the wall, after the second Hive is saved.

Reign of Fire

Episode VI, mission 2.

The Kel-Morian Combine

Episode VI, mission 3.

The Liberation of Korhal

Episode VI, mission 4.

True Colors

Episode VI, mission 5.

Fury of the Swarm

Episode VI, mission 6.

Drawing of the Web

Episode VI, mission 7.

To Slay the Beast

Episode VI, mission 8.

The Reckoning

Episode VI, mission 9. Finish it with time to spare and a bonus mission unlocks.

Dark Originmissable

Secret mission. It only appears if The Reckoning was cleared fast enough — miss the window and it never shows up on that save.

Omega

Episode VI, mission 10 — the last mission on the cart. Clearing all six episodes also hands out the Infinite Mana cheat.