I'm gonna be talking about all the easter eggs and neat little things here.

The Music
There's slightly different music in Lumiose itself, in each zone that the map is divided by.

Magenta District and the center of Lumiose(Centrico Plaza) has accordions.
Rouge District has trumpets.
Jaune District has french horn.
Vert District has bassoon.
Bleu District has flute.
This is all for the main motif you hear throughout the city.

Leaving Lumiose City
You can try to leave Lumiose if you want to. This is done by walking up to the train station and going through three prompts of leaving, trying to guilt trip you into staying. you then board the train, only to be met with the fact you're suddenly on a bench, with the game saying you were dozing off... you're locked in here with Urbain/Taunie forever!

Shiny Pokémon
You will hear a sparkle sound if you're close to a Shiny Pokémon. Shiny Pokémon DO NOT despawn if they go out of range or the time switches. They only despawn if you scare them away, or defeat them and don't catch them. Around 10 shinies can be "alive" in your game at any given time, so if a 11th spawns and you haven't caught any of the 10 shinies you found and haven't interacted with, the oldest of those 10 will be replaced.
Shiny pokémon have these sparkles around them, so even hard-to-see shiny mons will be easy to see that way.

Pokémon Legends Arceus References
There's a lot of references to Hisui stuff in the Lumiose Museum. You should check that out!
also, in the museum, you can get a free Spewpa by completing the "lost spewpa" quest.