Could you expand on this a bit? For context, I am also an Aurora user. I have on occasion used the functions to invoke lambdas and IAM auth, but 99.9% of the time, it's just stuff that comes with Postgres.
I'm honestly curious as to which features you find most compelling that can't be found in vanilla Postgres.
Aurora does add bells and whistles on top of vanilla Postgres that you’d be hard-pressed to find from other DBaaS vendors.
Sure, you can pg_dump and pg_restore to another provider but you lose all the goodies that made you choose Aurora in the first place.
For clarity, I’m a long-time happy user of Aurora and spend $super_big_money on it. Worth every penny IMHO.