These days I follow three "good practice" rules, all of which are violated when you follow common unit testing practise:
* Only put tests on the edge of a project. If you feel like you need lower level test than that then either a) you don't or b) architecturally, you need to break that code off into a different project.
* Test as realistically as possible. That means if your app uses a database, test against the real database - same version as in prod, data that's as close to prod as possible. Where speed conflicts with realism, bias toward realism.
* Isolate and mock everything in your tests that has caused test indeterminism - e.g. date/time, calls to external servers that go down, etc.