Most characters will join your team after you encountered them in the maze or story. But some special characters join only when their conditions are satisfied.

Alice: continue inviting until she agrees to join.

Shinki: Alice must join first. Then invest in Super Demonic Fund and waiting.

Satori and Akyuu: Shinki must join first. Then invest in Satori's Atelier and waiting.

Rin: Satori must join first. Now you can invite her.

I typed all these manually. Maybe I mistyped a lot of words.

Late-coming Servant
Trigger a certain event

Critically Nuclear
Trigger a certain event

Her store burned down
Trigger a certain event

Hiedakku Store Owner
Trigger a certain event

Dances at Random
Trigger a certain event

==

Knight of Earth Sky
Trigger a certain event

Dungeon Guide
Trigger a certain event

Satori's Pet
Trigger a certain event

Unconsciously Joined
Trigger a certain event

Pink Shut-In
Trigger a certain event

==

Creative Envy
Trigger a certain event

Lonely Puppeteer
Trigger a certain event

First Boss Intruder
Trigger a certain event

Unlucky Accessory
Trigger a certain event

Super Demonic Fund
Trigger a certain event

==

Who Started it All
Trigger a certain event

Novice
Raise someone's level to 2

Beginner
Raise someone's level to 9

New Guy
Raise someone's level to 20

Distinguished
Raise someone's level to 30

==

Veteran
Raise someone's level to 50

Expert
Raise someone's level to 80

Top Pro
Raise someone's level to 110

Master
Raise someone's level to 140

Investigator
Raise someone's level to 180

==

God
Raise someone's level to 220

Gatherer
Raise everyone's total level to 4

Disorderly Crowd
Raise everyone's total level to 36

Fledgling Adventurers
Raise everyone's total level to 100

Walking Death Flag
Raise everyone's total level to 250

==

Veteran Adventurers
Raise everyone's total level to 550

Monster Hunting Party
Raise everyone's total level to 950

Remilia's Mercenaries
Raise everyone's total level to 1500

Gensokyo Denizens
Raise everyone's total level to 2300

Saviors of the World
Raise everyone's total level to 3200

==

the Strongest Army
Raise everyone's total level to 4500

Apprentice Hunter
Defeat 2 enemies

Begin Monster Hunt
Defeat 20 enemies

Ordinary Hunter
Defeat 68 enemies

Veteran Hunt
Defeat 150 enemies

==

Village's Best Hunt
Defeat 300 enemies

Country's Best Hunt
Defeat 500 enemies

Continent's Hunter
Defeat 850 enemies

Planet's Best Hunter
Defeat 1200 enemies

Galaxy's Best Hunter
Defeat 1800 enemies

==

Exterminator
Defeat 2500 enemies

Beginner Gatherer
Obtain 8 treasures

Little Hoarder
Obtain 65 treasures

Treasure Hunter
Obtain 200 treasures

Treasure Thief
Obtain 500 treasures

==

Greedy Gatherer
Obtain 1000 treasures

Stubborn
Obtain 1700 treasures

Filthy Rich
Obtain 2700 treasures

Seeker of Riches
Obtain 4100 treasures

Thorough Hunter
Obtain 5900 treasures

==

Peerless
Obtain 8100 treasures

Beginner Disarmer
Disable 0 traps

Distinguish Disarmer
Disable 2 traps

Disarming Master
Disable 8 traps

Death and Beyond
Disable 18 traps

==

Trap Lover
Disable 35 traps

High Trap Disarmer
Disable 61 traps

Trap Maniac
Disable 96 traps

Trap Survivor
Disable 100 traps

Immortal Disarming
Disable 200 traps

==

Traps, my existence
Disable 250 traps

Dungeon Beginner
Complete 10% of the Enemy Dex

Dungeon Explorer
Complete 20% of the Enemy Dex

Dungeon Maniac
Complete 30% of the Enemy Dex

Dungeon Pathfinder
Complete 40% of the Enemy Dex

Dungeon Guide
Complete 50% of the Enemy Dex

Dungeon, my Home
Complete 60% of the Enemy Dex

Dungoen Returner
Complete 70% of the Enemy Dex

Dungeon Belonger
Complete 80% of the Enemy Dex

Dungeon Master
Complete 90% of the Enemy Dex

==

the Dungeon King
Complete 100% of the Enemy Dex

Library Beginner
Complete 10% of the Item Dex

Library 20% Filled
Complete 20% of the Item Dex

Library 30% Filled
Complete 30% of the Item Dex

Library 40% Filled
Complete 40% of the Item Dex

==

Library 50% Filled
Complete 50% of the Item Dex

Library 60% Filled
Complete 60% of the Item Dex

Library 70% Filled
Complete 70% of the Item Dex

Library 80% Filled
Complete 80% of the Item Dex

Library Almost 100%
Complete 90% of the Item Dex

==

Collector of Riches
Complete 100% of the Item Dex

Bush Kagerogue
Defeat Bush Kagerogue for 1 times

♥♥♥♥♥♥♥ Preachling
Defeat ♥♥♥♥♥♥♥ Preachling for 20 times

Gas Unzan
Defeat Gas Unzan for 50 times

Veteran Preachling
Defeat Veteran Preachling for 21 times

==

Will-o-Unzan
Defeat Will-o-Unzan for 50 times

Scoop Getter
Defeat Scoop Getter for 15 times

Lesser Koa
Defeat Lesser Koa for 1 times

Last Bokold
Defeat Last Bokold for 20 times

Metal Sleimu
Defeat Metal Sleimu for 15 times

==

Komeiji
Defeat Komeiji for 13 times

Wriggle Fly
Defeat Wriggle Fly for 42 times

Huge Spiderm
Defeat Huge Spiderm for 1 times

Vorpal Bunny
Defeat Vorpal Bunny for 15 times

Bishap
Defeat Bishap for 1 times

==

High Preachling
Defeat High Preachling for 25 times

Master Banja
Defeat Master Banja for 25 times

Fire Whiterock
Defeat Fire Whiterock for 25 times

Highway Myon
Defeat Highway Myon for 1 times

Chimeraugh
Defeat Chimeraugh for 15 times

==

Blue Ikugon
Defeat Blue Ikugon for 15 times

Komeiji Souvenir
Defeat Komeiji Souvenir for 12 times

Scarlet Devil
Defeat Scarlet Devil for 1 times

Shade Tojiko
Defeat Shade Tojiko for 25 times

Luna Tenko
Defeat Luna Tenko for 1 times

==

Beowr
Defeat Beowr for 25 times

Sleimu
Defeat Sleimu for 25 times

Preachling
Defeat Preachling for 21 times

Wind Whiterock
Defeat Wind Whiterock for 25 times

Veteran Banja
Defeat Veteran Banja for 25 times

==

Earth Whiterock
Defeat Earth Whiterock for 25 times

Inaba White Bunny
Defeat Inaba White Bunny for 12 times

Master Bokold
Defeat Master Bokold for 25 times

Yuyumoto
Defeat Yuyumoto for 1 times

Lesser Ikugon
Defeat Lesser Ikugon for 12 times

==

Catiger
Defeat Catiger for 25 times

Meowse
Defeat Meowse for 20 times

Red Gorgayle
Defeat Red Gorgayle for 13 times

Freeze Komeiji
Defeat Freeze Komeiji for 15 times

Kagerogue
Defeat Kagerogue for 21 times

==

The High Master
Defeat The High Master for 15 times

Orc Empress
Defeat Orc Empress for 25 times

Master Myon
Defeat Master Myon for 15 times

Meowlf
Defeat Meowlf for 50 times

Tenko
Defeat Tenko for 1 times

==

Gorgayle
Defeat Gorgayle for 15 times

Vampire
Defeat Vampire for 15 times

Goinkyo
Defeat Goinkyo for 21 times

Chuckling Ghost
Defeat Chuckling Ghost for 15 times

Great Ikugon
Defeat Great Ikugon for 15 times

==

Full Moon Kagerogue
Defeat Full Moon Kagerogue for 1 times

Minor Saigyou
Defeat Minor Saigyou for 1 times

Loser Knight
Defeat Loser Knight for 1 times

Sword Myon
Defeat Sword Myon for 1 times

Moriya Priestess
Defeat Moriya Priestess for 1 times

Bowling Wriggle
Defeat Bowling Wriggle for 50 times

Thieving Ghost
Defeat Thieving Ghost for 25 times

Vorpal inabunny
Defeat Vorpal inabunny for 12 times

Neo Banja
Defeat Neo Banja for 12 times

Fire Komeiji
Defeat Fire Komeiji for 15 times

==

Arch Preachling
Defeat Arch Preachling for 15 times

Gazing Shameimaru
Defeat Gazing Shameimaru for 25 times

Bokold Returns
Defeat Bokold Returns for 25 times

Lone Inaba
Defeat Lone Inaba for 15 times

Treasure Stealer
Defeat Treasure Stealer for 25 times

==

Attack Inaba
Defeat Attack Inaba for 15 times

Greater Koa
Defeat Greater Koa for 1 times

Red Spiderma
Defeat Red Spiderma for 15 times

Orc Lord
Defeat Orc Lord for 15 times

Orc Hero
Defeat Orc Hero for 1 times

==

Master Banja
Defeat Master Banja for 25 times

Komeiji-chan
Defeat Komeiji-chan for 1 times

High Bishap
Defeat High Bishap for 15 times

Arch Bokold
Defeat Arch Bokold for 25 times

Gomedusa
Defeat Gomedusa for 15 times

==

Frost Whiterock
Defeat Frost Whiterock for 25 times

Rotting Myon
Defeat Rotting Myon for 13 times

Cursed Kagerogue
Defeat Cursed Kagerogue for 25 times

Derelict Myon
Defeat Derelict Myon for 21 times

Orc
Defeat Orc for 15 times

==

Flack
Defeat Flack for 15 times

Orc Elf
Defeat Orc Elf for 21 times

Strayed Preachling
Defeat Strayed Preachling for 1 times

Bokold Ace
Defeat Bokold Ace for 1 times

Bubble Sleimu
Defeat Bubble Sleimu for 1 times

==

Bokold
Defeat Bokold for 25 times

Hellspider
Defeat Hellspider for 15 times

Bokold Thief
Defeat Bokold Thief for 50 times

Capybara Inaba
Defeat Capybara Inaba for 15 times

Banja
Defeat Banja for 21 times

==

Ikugon
Defeat Ikugon for 13 times

Knight Tojiko
Defeat Knight Tojiko for 25 times

Major Saigyou
Defeat Major Saigyou for 1 times

Arch Komeiji
Defeat Arch Komeiji for 15 times

Marisa's Phantom
Defeat Marisa's Phantom for 25 times

==

Kochiya Priestess
Defeat Kochiya Priestess for 1 times

Arch Kochiya
Defeat Arch Kochiya for 15 times

Veteran Komeiji
Defeat Veteran Komeiji for 15 times

Wriggle Worm
Defeat Wriggle Worm for 42 times

Zombie Ikugon
Defeat Zombie Ikugon for 15 times

==

Forest Spider
Defeat Forest Spider for 15 times

Spider Queen
Defeat Spider Queen for 12 times

Lunatic Kagerou
Defeat Lunatic Kagerou for 25 times

Spiritojiko
Defeat Spiritojiko for 25 times

The Master Myon
Defeat The Master Myon for 1 times

==

Narisa's Ghost
Defeat Narisa's Ghost for 13 times

Great Chimeraugh
Defeat Great Chimeraugh for 15 times

Killer Shameimaru
Defeat Killer Shameimaru for 1 times

Mist Unzan
Defeat Mist Unzan for 40 times

Myon Blademaster
Defeat Myon Blademaster for 15 times

==

Poison Wriggle
Defeat Poison Wriggle for 50 times