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Is there any chronological order to Sonic Boom? Across the show, games, and comics.
Rise of Lyric and Shattered Crystal are supposed to be prequels to the shows and comics, but they contradict each other. (Each game has Sonic and the gang acting like they're meeting Lyric for the first time)
Aside from that, continuity doesn't really matter. The shows and comics tell self-contained stories, so watch/read them in any order.
The show is definitely intended to be watched in the order that the episodes aired, or at least seemingly so. Several running gags grow as the series goes on, and there's a fair few recurring characters that are given major screentime and attention in their first appearance, then later appearances seem to assume you already know who they are (The Lightning Bolt society being a particularly major example).
The TV show VERY RARELY references lore first introduced in the games, I'm talking like, once or twice in the whole series, but not in any way that will at all affect your enjoyment of the story at hand. The show contradicts the games far more often than it does match up to them anyway.
Jokes and characters are the only things affected by continuity though. Storylines never continue from one episode to the next at any point. So penalties for not watching in order are simply inconvenient at best.
the worst* not best, lol.
There was a prequel comic done by Archie that was included in Shattered Crystal's story that gave a different backstory to Lyric, how Shadow got brainwashed and how Amy got to where she confronts Lyric in the intro of the game.
Other than that not really.
Shattered Crystal does have alot of the show funny nature though. at least to me it does. it also shows Sonic's hut and Tails workshop along with Amy's house.