So this going to be a very long theory, as I have a lot to explain.
So this is just me sorting out the Timeline of the Angry Bird Games. But regarding sprites I'll only loosely base it off the character's appearance, however, since it is all over the place. I'm also excluding the Star Wars series.
The series starts with Angry Birds Go!, since the pigs and birds aren't at war then. They also are placed in the same exact tree and peacefully (as peaceful as they can get) fight with each other. The Angry Birds Movie also states that the pigs and birds used to get along fine when the pigs first arrived. Stella is also present, as she was in the movie.
Then it's Angry Birds Fight, due to the lack of pigs in the game and also because Stella is still there. Stella is a key factor, as all games that include her take place before she goes to Golden Island.
It goes onto Angry Birds Original and Angry Birds Seasons. Although Bubbles and Stella are not present until 2012, it is fair because they weren't created yet. Stella is in the game currently, so it must be before, but the Birds are officially at war with the pigs so this is after the pigs attempt to steal the eggs. Bad Piggies also takes place at this time, because Freckled Pig is only in this game but is also in the movie.
Then it's Angry Birds Rio, where the flock goes off to Rio (obviously). The war is going on between the Birds and Pigs, as seen in the final cutscene where Foreman and a Minion attempt to get the eggs. However because Stella is present it takes place before she leaves. However it is unknown if it would take after or during ABO, ABS, and BP.
By then, Hal, Bubbles, and Stella must have fled to Golden Island to take refuge from the pigs as they are not in the games afterwards. This is where Angry Birds Epic takes place because Stella, Bubbles, or Hal are not present. It is also after because the war is still going on.
Then Bubbles comes back and Angry Birds Space takes place. Matilda leaves Golden Island, and Hal returns from Golden Island. However, during that time span they were going back, Angry Birds Space and POP! were happening at the same time. Which is why Bubbles appears later on than the rest, and Hal, Matilda, and Stella don't go at all. They take the war between the pigs outside of Piggy Island, where they discover Ice Bird. They likely help him get the Eggsteroid from the Pigs and they go back to Earth. Meanwhile, Stella and her friends fight against the small amount of pigs, as they are not a threat yet. POP! is also before Stella, because Luca is not in the game and hasn't matured to his ability yet either. This is also why characters visit in and out.
Then it's Angry Birds Stella. Transformers is after because Stella, Hal, and Bubbles are present but Matilda isn't. By this time Luca has grown into a child and the pigs pose a bigger threat.
Stella returns to Piggy Island and Matilda is still at Golden Island, they just don't see each other. This is where Transformers takes place, and Stella and Bubbles helps fight while Hal relaxes in his own visit. They get transformed but return back to normal and Stella, Hal, and Bubbles all go back to Golden Island while Matilda goes back.
They then discover the presence of Silver, who, due to being raised by pigs, was unknown by the flock. She joins the flock lately. Currently, the flock is Red, The Blues, Chuck, Bomb, Matilda, Terence, and Silver. The war is bigger now, as the pigs are able to construct more complex and staged contraptions rather than what they did in the first game. This is where the series currently is.
Did I make any mistakes? Let me know in the comments!