Semi-colons allows multi-crew search
(i.e. "data;spock")
Tiers and comments come from /u/Automaton_2000's work, with his permission.

Tiered Crew List

Tier 1

First Officer Burnham

Tier 2

Leonardo da Vinci
2
Mirror Jean-Luc Picard
1
Prisoner Katrina Cornwell
1
Surak
2

Tier 3

Borg Queen
1
Captain Killy
1
Honey Bare Jadzia
1
Prophet Sarah Sisko
1
Solar Sails Sisko
2

Tier 4

Assimilated Janeway
1
Assimilated La Forge
3
Away Team Saru
Captain Lorian
2
Defensive Phlox
1
Delta Flyer Paris
1
Dr. Hugh Culber
1
Falcon O'Brien
1
Klingon Janeway
1
Mirror Data
Mirror Inquisitor Troi
Musketeer La Forge
2
Pah-wraith Keiko
RAF Miles O'Brien
2
Rura Penthe Kirk
1
Temporal Prisoner Chakotay
Xindi Insectoid Councilor
2
Zhian'tara Odo

Tier 5

"Dark Ages" McCoy
1
Aviator Yar
1
Bell Riots Bashir
2
Commander Kira Nerys
1
Durango Troi
1
Gangster Kirk
Laborer Spock
2
Mirror Beverly Crusher
1
Protomorphosis Barclay
1
Romulan Data
1
Tempted Data
The Keeper

Tier 6

Admiral Kirk
1
Age of Sail Riker
Benny Russell
1
Captain Lorca
Captain Thadiun Okona
1
Chancellor Gorkon
1
Chancellor Gowron
1
Desert Philippa Georgiou
3
Klingon Bride Jadzia
Lt Commander Jadzia Dax
Maquis Tuvok
1
Mirror Intendant Kira
1
Mirror Zefram Cochrane
2
Romulan Picard
1
Virtuoso Doctor
2

Tier 7

Age of Sail Crusher
1
Annorax
Augment Commander O'Brien
3
Bell Riots Jadzia Dax
Crell Moset
2
Detective Data
Emotion Chip Data
Enemy Lines Sisko
2
EV Suit Archer
1
Gangster Spock
2
Gladiator McCoy
1
Harcourt Fenton Mudd
Mirror Bashir
1
Mirror Shukar
1
Mobile Doctor
1
Prince Bashir
3
Protomorphosis Worf
Ripper
Seven in Silver
1
Suus Mahna Sarek
2
Warship Tuvok
1

Tier 8

Alternate Future Bashir
2
Augment Picard
2
Bashir, Julian Bashir
3
Cadet Sylvia Tilly
Goddess of Empathy Troi
1
Gunslinger Uhura
2
Interfaced Barclay
1
Katrine
Kolinahr Spock
1
Mademoiselle de Neuf
1
Mirror T'Pol
1
Niners Sisko
2
North Star Tucker
2
Obsidian Order Garak
1
Scientist Degra
3
Seven of Nine
1
Sulan
1
Surgeon Pulaski
1
T'Kuvma
Timicin
Wrathful Khan
1

Tier 9

Agent Janeway
Assimilated Torres
2
C.O.P. Founder Picard
2
Dancing Chekov
Frank Hollander
1
Kortar
1
Lieutenant Wesley Crusher
Mirror Spock
1
Satan's Robot
1
Species 8472 Invader
Temporal Agent Daniels
The Traveler
1
Trelane
War Correspondent Jake Sisko
1
Yarnek

Tier 10

23rd Century Martok
2
Admiral Janeway
Captain Nog
2
Captain Sisko
2
Dancing Uhura
1
Dress Uniform Scotty
1
Duelist Torres
2
First Officer Chekov
Garak, Elim Garak
2
Ilia Probe
Joachim
1
Martian Quark
1
Mintakan Riker
1
Mirror Reed
Mirror Regent Worf
1
Phoenix Cochrane
2
Smitten Jean-Luc Picard
1
Torchbearer Rejac
1
Umpire Odo
1
Vengeful L'Rell
Vulcan Executioner
1

Tier 11

Admiral Riker
Arachnia Janeway
1
Beowulf Kim
1
Captain La Forge
1
Captain Rachel Garrett
1
Convergence Day Quark
2
Dahar Master Kang
2
First Officer Riker
Lt Commander La Forge
1
Miranda Jones
1
Mirror Kirk
Revolutionary Damar
2
The Professor
Trader Worf

Tier 12

1701 Sisko
1
Admiral Nechayev
2
Commander Troi
Disguised Kira
Doctor Chaotica
1
Enabran Tain
1
Grand Nagus Rom
2
Kal-if-fee Kirk
1
Mariachi Q
Pah-wraith Cult Dukat
2
Resistance Neelix

Tier 13

Abraham Lincoln
2
Changeling Founder
1
Enterprise-E Picard
1
General Chang
1
Grand Nagus Zek
1
Jazz Musician Odo
1
Sheriff of Nottingham Q
1
Suliban Reed
The One, Lore
1
Undercover Sulu
Ushaan Archer
Will Scarlett
1

Tier 14

Ambassador Soval
2
Ambassador Troi
1
Captain Scott
1
Dr. Richard Daystrom
2
Grilka
Gul Madred
2
Judge Q
Kai Opaka
1
Lissan
1
Loque'eque Sato
1
Nyota Uhura
One
1
Orion Vina
Rogue Kai Winn
Senator Vreenak
2
Tora Ziyal
1
Ushaan Shran

Tier 15

Admiral Cartwright
Captain Morgan Bateson
Captain Pike
1
Dr. Soong
1
Inglatu
Portal 63
Shinzon
Tosk