Summary of the Verse
Twitch Plays Pokémon (TPP) is a "social experiment" and channel on the video streaming website Twitch, consisting of a crowdsourced attempt to play Game Freak's and Nintendo's Pokémon video games by parsing commands sent by users through the channel's chat room.
One of the most notable thing about the whole Stream, is the various "lore" created by fans about the various Pokémon and Events in the stream. This includes coming up with names for Pokémon and explaining their relationship with the Plot.
The most notable lore was in the first run, playing Pokémon Red. The Helix Fossil being frequently contacted, the fans interpreted it as Red calling for help to the fossil, which would go on to be treated as a deity. Popular enough lore often gets recognized and added in-game, or decides major decisions of the Voices.
The stream hosted multiples playthrough of various games, such as Red, Crystal, Emerald etc. Each games has its own set of 'mons with their own lore and personalities.
Note that for the profiles, only extremely popular lore ideas are taken into account, such as those popular enough to be the "semi-official" names of the 'mons or other such ideas. Fan comics or ideas that appears only sometimes won't be taken into account.
Power of the Verse
The verse has very similar power to the original Pokémon games, as most of their statistics are derived from it. However since most of the cast fights at least one Legendary, it is in general more powerful, with the weakest main characters being nearly into tier 6, and the rest usually being well into it. Notably, Napoleon's team is composed out of many Tier 2, who then scales to all previous teams and some future ones due to the tournament (Although it only apply to their incarnation in said tournaments)
The non-Pokémon entities, however, are usually much more powerful. The weakest one of them, the PC, is effortlessly able to kills off God Tier Pokémon, such as Giratina, and being generally immune to harm. Cirno and the rest of the Touhoumon team, who could easily defeat the PC early in their quest. Then the Voices, who can easily controls nearly anyone in the verse, and are completely unharmed by anything happening in it. Finally, the Streamer, who transcends even The Voices, being almost omnipotent to even then. In general, it is a pretty strong verse.
Characters
Pokémon Red (Gen 1)
The Chosen Six (RED's party)
Battery Jesus (AA-j)
King Fonz
Air Prince
ATV
The Dome Followers
Others
The Keeper
Pokémon Crystal (Gen 2)
The Godslayers (AJ's party)
Burrito
Brian
Katie
Solid Snake
Ace
Pokémon Emerald (Gen 3)
The A-Team (A's party)
M4
Cruella
5'7''
Mighty Doge
Annie
Cabbage the White
Pokémon FireRed (Gen 3.5)
The Comewnist Party (Alice's party)
DJ Stalinking
Hyperbug
Karl Marcs
Altareon
Sandsplash
Shellrock Holmes
Pokémon Platinum (Gen 4)
The Court of the Sun (Napoleon's party)
Moonbat
Sunshine
Agent 006
Steve
Sunbrella
Pokémon HeartGold (Gen 4.5)
The Wolf Pack (Aooo's party)
Trumprava
Lord Skull
Lord Armor
The Oracle
Treesus
Pokémon Black (Gen 5)
The Expendables (Jimmy's party)
Nonon
Fives
Mega Henry
Sparky
QQQQ
Dru
Pokémon BlazeBlack 2 (Gen 5.5)
(CLY's party)
Wilbur
UmbrellaGator
Zenny
Quaffle
Aipom Jr.
Zoro
Others Team
BB the Cirno
Cross-Generations Characters
The StreamerGod Tier
The Streamer
BB the Cirno
Wilbur
UmbrellaGator
Zenny
Quaffle
Aipom Jr.
Zoro
Moonbat
Sunshine
Cruella
Agent 006
Steve
Top Tier
Trumprava
Lord Armor
Lord Skull
Treesus
The Oracle
DJ Stalinking
Hyperbug
Karl Marcs
Altareon
Sandsplash
Shellrock Holmes
M4
Cruella
5'7''
Mighty Doge
Annie
Cabbage the White
High Tier
Nonon
Fives
Mega Henry
Sparky
QQQQ
Dru
Mid Tier
Burrito
Brian
Katie
Solid Snake
Ace
Battery Jesus (AA-j)
King Fonz
Air Prince
ATV
Low Tier
The Keeper
The False Prophet