What skits that probably wouldn't fly today...
Do to political correctness/SJW issues? I would immediately say the Randy & Mandy skit, which pretty much promoted the excessive eating of chocolate. I wouldn't surprise me of nutrition nuts would go on online to complain about the risk of getting diabetes.
There's also that skit where Kenan Thompson and Nick Canon play the convenience store cashiers. Naturally, it would bring up accusations of creating negative stereotypes about black women.