One day, I hope to actually play DnD.
that is a point, it might be interesting to diverge a little more from DnD and create a few more thematically focused spell lists separating them into more than just the three big ones, elemental is elemental, but arcane might be more intricate spells, necromancy of course, protection, nature might focus on plants and animal spells while primal is more varied and gets some spiritual stuff...Do you mean separate lists of the same spells? As in, some classes get Dispel Magic and some don't but the spell works exactly the same for each of those classes that get it?
Or do you mean spells bespoke to and-or tweaked for each class? As in, only Necromancers get Animate Dead as a 2nd-level spell where everyone else has to wait until at least 3rd; and-or the Cleric version of Dispel Magic works differently than does tha Wizard version; and-or Bless Blade is a hypothetical new spell bespoke to Sword-mages, and-or ???