As many of us know the 5 tiers present in the game create for some wildly varying health levels, with maxed 
characters reaching just under 1,400 health while a maxed
can go up to 45,000.
With Balance of Power, however, we can see that if everyone was present at the same level there would be a more normalized shift between the low and high ends of the health pool. For fun, I took a look at my roster and noted down their health pools at level 550.
NOTE: There are some characters I am missing, so I’ve asked other forumites to help me complete the list.
Health-values listed are the mode health of the tier (greatest number of characters with those exact values; an average is done if a tie takes place.) There are health values with small deviations from each other, but are left within the tier as the difference is negligible. This phenomenon may be by-products of the scaling Balance of Power does to everyone, since each tier scales differently in all other modes of play. (OJSP has noticed the same character can have deviations based on it’s level before taking into account the BoP boost: i.e. Old Man Logan has 91,800 normally at 550, and if he’s levels 255 or 360 he’s boosted to 91,800, yet a Lv. 282 boosted only scales up to 91,796.)
Feel free to suggest better tier names 
54,000 Poor Ororo Tier
Storm
63,000 Fishnets Tier
Black Widow
67,500 Super Squishy Tier
Hawkeye
Storm
The Hood
78,750 Squishy Tier
Black Widow
Yelena Belova
Loki
Professor X
89,998 Healing Factor Tier
Daken
Wolverine
Wolverine [X-Force]
91,800 Legendary Mutant Tier
Jean Grey
Wolverine [Old Man Logan]
94,067 Trick-or-Treat Tier
Green Goblin
99,000 Fallen Apple Tier
Daken
100,124 Lower Tier
Hawkeye
Human Torch
Bullseye
Storm
100,522 Unfriendly Neighboorhood Tier
Spider-Man [Back In Black]
101,249 Immortal Weapon Tier
Iron Fist
102,599 Skyrider Tier
Silver Surfer
103,274 Astonishing Logan Tier
Wolverine [Astonishing X-Men]
106,874 Low Tier
Black Widow
Human Torch
Mystique
Sam Wilson
Howard The Duck (Howard, A Duck)
Invisible Woman
Nick Fury [Director of S.H.I.E.L.D.]
107,730 Civil War Tier
Iron Man
Steve Rogers
110,138 No Bones About This Tier
Bullseye
112,500 Starter Pack Tier
Iron Man
114,749 Average Tier
Spider-Man
Magneto [Marvel NOW!]
Spider-Man [Bag-Man]
Beast
Blade
Daredevil [Man Without Fear]
Deadpool [It’s Me, Deadpool!]
Doctor Octopus
Kamala Khan [Ms. Marvel]
Magneto
Psylocke
Quicksilver
Scarlet Witch
Spider-Man
Squirrel Girl
The Punisher
Deadpool [Uncanny X-Force]
Elektra
Iceman [All New X-Men]
Jean Grey [All New X-Men]
Kate Bishop
Miles Morales [Spider-Man]
Moon Knight
Mr. Fantastic
Nova
Quake
Sam Wilson
Spider-Gwen
Star-Lord
X-23 [All New Wolverine]
121,499 Mythological Tier
Ares
Thor [Marvel NOW!]
122,624 Above Average Tier
Cyclops [Uncanny X-Men]
Ant-Man
Cyclops
Peggy Carter
The Punisher
128,249 Bulky Tier
Black Panther [T’Challa]
Captain Marvel
Doctor Doom
Gamora [Guardians of the Galaxy]
Iron Man
Luke Cage [Hero For Hire]
Steve Rogers
Vision
Carnage
Ghost Rider
Kingpin
Winter Soldier
134,999 Oddball Strong Tier
Venom
Thor
War Machine
141,074 Strong
Tier
Captain Marvel [Ms. Marvel]
Steve Rogers
141,749 Strong Tier
Colossus
Ragnarok
Rocket & Groot
Sentry
She-Hulk
Drax
Thor [Goddess of Thunder]
Venom
146,249 Hulk-Busting Tier
Iron Man
The Thing
151,874 Gamma Radiation Tier
The Hulk
Red Hulk
The Hulk
153,899 Fan Service Tier
Moonstone
157,485 Tiny Arms Tier
Devil Dinosaur
179,999 Do You Know Who I Am? Tier
Juggernaut
EDIT 1 (Dec. 18th, 2015) Added Miles Morales [Spider-Man] and Venom .
EDIT 2 (Feb. 9th, 2016) Scaled up to Level 550 (also adjusted for the recent Champions update which skewed health values. Noticable tier drops for
Ares/Thor/Wolverine, and Classic Storm now the weakest character in the game. Moonstone made a serious gain)
EDIT 2.A (Feb. 9th) Thanks to OJSP for the health values for
Deadpool, Ghost Rider, Iceman, Jean Grey, Miles Morales, Nova and Venom, as well as
Jean Grey and Wolverine.
EDIT 3 (May 4th, 2016) Updated values with tiny tweaks and for additional characters added since the last run. (Most health values were altered about 5-20 points lower than the February run, so the differences are mostly negligible, and the total number of deviations has slightly decreased. Moonstone somehow made a 700 point jump, again the largest beneficiary of the tweaks.) Also fixed Dark Avengers Daken being grouped in a tier under his actual BoP health value.
EDIT 3.A (May 4th) Thanks to OJSP again for health values for Drax, Teen Jean, Quake, Spider-Gwen, Goblin and OML.
EDIT 3.B (May 5th) Thanks to OJSP for a quick look into deviations, and thanks to Demolira for Winter Soldier’s health.
EDIT 4.A (July 27th) Added War Machine, Peggy Carter, and First Avenger Steve.
EDIT 4.B (July 30th) Thanks to bigwhoop for values for Mark XLVI Iron Man, Kate Bishop and Moon Knight.
I currently need health values for the following characters:
The Hulk
Wasp [Janet Van Dyne]