Individual Corpie characters don't need anything different from what individual Mixers have, as far as reasons to develop conflict, rivalries and plots.
Mixer players aren't asking for GMs to push a coded or curated ebb-and-flow between the street gangs or the organized criminal factions. They don't need that, to act out the competition and rivalries they know are there. Corpie world really shouldn't be any different.
What's different is how it goes down: In the Mix it's socially acceptable and strategically valid for violence and bare threats to be the first line of action. In the corporate world, it's not socially acceptable and it's risky, so, play the other side of the game, play the other side of the noir and cyberpunk theme, play the other side of the promise of Sindome, the side where cat's-paws, subtlety, blackmail, and cunning are the way to satisfy your goals.
Both sectors are about greed, spite, ambition, and revenge. Topside can even be about turf - corporate rivalry isn't about holding a street corner and shaking down convenience stores for protection money, it's about snobbery and attitude and making employees of the other rival corp look and feel bad, especially in public and especially in front of their bosses.
Where machetes are the tool of the street survivor, sabotage is the tool of the corporate climber.
In this game, we talk about small-town play a lot, and how that's negative. I'm here to say that there is a flip side, and it's this:
Each person who plays this game puts a character into it who has the potential to exceed their average, uninteresting, unnoticed peers. Mixer PCs stand out because they're more competent, more proactive, more ambitious and more vital than the millions of NPCs or VCs (virtual characters) populating the sector. Corpie PCs stand out from the millions of faceless drones for the same reason.
So, all right, sometimes it's okay to react to a specific player's character as if they are extra noticeable. If they're being played boldly, pursuing goals, making progress on their trajectory through their world, they're getting attention. They are standing out. They are moving through a pond full of nobodies, tiny fish you'll never remember or notice.
But if you need coded systems or gamemaster manipulation just to find something to do in the game, you're already losing so badly that you should just stop whatever it is you're doing, stop right now, and do something completely different, because you're one of the invisible ones, as sheepish as the millions of forgettable ambient nobodies.
"Oh, but my character would never..." Stop right there. If you're looking for shit to do, if you're looking for more plot, then either kill your character right now and make a new one which would get up off their UE and their bank savings and act, or else, make up some reason right now why your character will break out of its shell and start clawing its way out of its rut.