The first god is mentioned in the 'Rewrite' main event back in Chapter 1, the Narrator called it Nozomu, and a horny ball of light. Nozomu translates to "To Hope" or "Hope" in Japanese. HOPE just so happens to help Sensei to the roof during this Reset. It is also Summer at this point.
The second god is mentioned in 'There is Nothing' at the end of Chapter 1. The Narrator called it Calm (while the first is Callous), tree like and computer like, with wires, etc. Sensei also has to connect to USER2 who helps him get to the roof during this Reset. The third god is mentioned but only that it was Concerned. It is turning Winter around this time.
It's also revealed that there are 4 USERs. USER1 to USER4, which you can try connecting to. Only USER2 connects though.
By this point 'The Room With Clocks' Happy Event had occured, and in it, USER2 shows up:
and with this, that purple smily face, computer, Ramen bowl, and bird (probably Noodles), are inferred to be related to USER2, and by context, it also seems to be The Second god aka The Wire god (this name shows up later).
By the 'Word of The Day' Main Event in Chapter 2, not only do we have Tsuneyo showing up with this shirt from her father:
But we also have USER2 showing up talking to Sensei with this "face":
We also have what appears to be USER2 showing up and talking about remaining Calm in it's unique way it communicates:
So, yeah, it's heavily implied Tsuneyo is related to USER2 who seems at least related to the Wire/Calm god.
In the Trinity Happy Events there are loads of god lore. Most notably in the Trinity p2 one, a voice says Kill the Callous, Kill the Calm, Kill the Concerned. In Trinity p3, we have USER1 messing with Sensei, USER2 trying to connect, and USER3 then shows up:
With a male voice, talking in lower case, and noting it was "very concerned".
Later on in Sana's 'Ad Infinitum', this same USER3 seems to appear and name itself Pareidolia:
By the end of Chapter 2, Sensei ends up back in HOPE's world in 'The Light of Last Summer', and notably refers to callousness:
Then depending whether you chose Callous, Calm, or Concerned in a survey earlier, the 'Life of Prizes' Event will show you different books, which will talk to Sensei differently in this order:
Btw, I should mention that HOPE refers to itself as "The thing with Feathers":
Most notably in the Trinity p3 Happy Event.
Anyway, just to sum it up, since there are dozens of events by this point in the game intended to give you an idea of the gods, one can Infer:
- First god is Callous, likely HOPE and The Lust Eater, and related to Yasu as even her church is known as the New Hope Church. Extra stuff that seems related: Birds, Light, TALKING IN CAPS, USER1, Summer, The Bottom of Everything, Angels, etc. Probably related to Ami.
- Second god is Calm, likely The Wire god, and related to Tsuneyo as her shirt, "son" Noodles, and Ramen itself seems related to this god who seems heavily implied to be USER2. Extra stuff that seems related: Being in Darkness (confusingly), The Old District, visual changes, slanted all caps like this: "////CALM", Winter, Affection points, etc. Also Resets, and this is the one that made Maya think she'd be Reset during the 'Scary Room'. Probably related to Maya.
- Third god is Concerned, virtually guaranteed to be Pareidolia and "The Dark". Extra Stuff that seems related: Spiders, Perception, Spring, Kaori (Mistress of The Dark, and Queen of Spiders), and it seems likely that The Shapeshifter and Ayane are related to this god. Also maybe Sana and Yumi.
Beyond these 3 gods there also seems to be The Old One:
Nao:
And The World Itself:
The World Itself seemingly being the most malicious of the bunch:
It's likely related to Nodoka:
And the Scary Sekai. Also seemed to be what fucked with Makoto:
Btw, I should mention that like how Nozomu can translate to "Hope". Sekai can translate to "World". USER3/Pareidolia even seems to refer to Sekai as The World:
It isn't clear who or what USER4:
is yet, as far as I can tell.
Overall: This is a summarization. If you want specifics, I'll try to show what I can. There's still a lot of unknowns though.
