If Eggyhead never met Collecter: results in EdgyHead or Starved Eggy
If Eggy never met Inky: Eggy would be kinda lonely, bc Inky is his best friend (or at least he thinks so)
If Eggy never met Redi: He would end up doing experiments by himself, and do most of his experiments on animals.
If Eggy never met Omeletta: he'd either be a bachelor for eternity, or he might fall in love with Peyton.
If Eggy never met Astra: he'd have a lot less knowledge about teaching.
Those are ones I've listed, comment if you want a what if Eggy didn't meet your Boss/Bosses