15 years ago we just used Red Gates SQL Compare. I think it's still SQL Server only, but this really seems like this should have been solved for most mature databases by now.
I was sad to not see them move their tooling to multi-database. I had a couple calls with them ~5-6 years ago to talk about our needs and how they would be solved by a Postgres version of their tools (like SQL Compare), but apparently it never went anywhere.
Having been a Red Gate customer in 2005, I decided to take a look at their current offerings. Based on https://www.red-gate.com/products/ it seems like they have started to look at other database. The newest products seem to have support for at least 3-4 databases. They are maybe caught between rewriting a legacy product and building out the features in their successor products.