What cross-game connectivity is there between Civilization: Beyond Earth and Starships?
Solution 1:
There are two aspects to this question.
What Beyond Earth can unlock in Starships. Taken from this wiki page. Note that the hybrid affinities are strictly better than their regular alternatives, and two hybrid pairs (e.g. Purity/Harmony and Harmony/Purity) have no functional differences.
Planet Type Unlocks Winning a game of Civ:BE with each ending will unlock each of these.
Planet Type - Nirvana: +5% Crew Morale (Unlocked by Harmony victory)
Planet Type - Xanadu: +10% Science (Unlocked by Purity victory)
Planet Type - Earth: +10% Metal (Unlocked by Supremacy victory)
Planet Type - Observatory: Open Communications with all AI leaders (Unlocked by Contact Victory)
Hybrid Affinity Unlocks* You need to reach Rank 7 of each main affinity and 3 of a second affinity to unlock the Hybrid Affinity groups (do not need to win, unlocked immediately)
Hybrid Affinity - Supremacy/Harmony: Start the game with one random Wonder already built and your starship repair costs are reduced by 50%.
Hybrid Affinity - Supremacy/Purity: Start the game with one random Wonder already built and receive doubled resources from completing missions.
Hybrid Affinity - Purity/Harmony: Receive doubled resources from completing missions and your starship repair costs are reduced by 50%.
Hybrid Affinity - Purity/Supremacy: Receive doubled resources from completing missions and start the game with one random Wonder already built.
Hybrid Affinity - Harmony/Supremacy: Your starship repair costs are reduced by 50% and start the game with one random Wonder already built.
Hybrid Affinity - Harmony/Purity: Your starship repair costs are reduced by 50% and receive doubled resources from completing missions.
Mission Unlocks
Mission - New Jerusalem: Protect the religious refugees. Unlocked by completing the Quest "FOUND AN OUTPOST."
Mission - Assembly Required: Protect the cargo transports. Unlocked by completing the Quest "GIFTS FROM HOME."
Mission - The Arena: Battle without shields. Unlocked by completing the Quest "HOSTILE TAKEOVER."
*Note that the hybrid affinities are listed requiring 3 points in the second affinity, but some sources suggest it has to be 4
What Starships can unlock in Beyond Earth. Note that these are all 'loadout' options when starting a game, and the new maps appear under Advanced Worlds. Aside from maps, they are unlocked by completing missions in Starships. Taken from this forum thread. Note that I have added Glacial Map and updated Tiny Islands per this page.
Map - Glacial Map
Bonus: new map type
Unlocked By: Login to My2k
Map - Tiny Islands
Bonus: new map type
Unlocked By: winning a a Population victory
Map - Inland Sea
Bonus: new map type
Unlocked By: winning a Domination victory
Colonist - Pioneers
Bonus: build colonists and explorers twice as fast
Unlocked By: completing the "Fleet Escape" mission
Colonist - Mercenaries
Bonus: all cities have +25 HP and all units have +10% combat and ranged strength in friendly territory
Unlocked By: completing the "Dark Star" mission
Spacecraft - Supply Module
Bonus: begin with 2 resource pods near your first city
Unlocked By: completing "Den of Thieves!" mission (Pirate homeworld)
Spacecraft - Electromagnetic Sensor
Bonus: reveal Artifacts on map
Unlocked By: completing the "Final Justice!" mission (Marauder homeworld)
Cargo - Cryotome
Bonus: begin with a free virtue
Unlocked By: completing the "Fragile" mission
Cargo - Xeno Management
Bonus: begin with an Ultrasonic Emitter unit (does 10 damage to all adjacent aliens)
Unlocked By: completing the "Death Craft Alpha" quest