Then again, we have no signature required, and regularly have packages sitting on our front porch for a day or so and haven't had anything go missing.
Maybe your standards for "very secure" and "trustworthy" are extremely low.
The first one, if a package was dropped off in the lobby, the driver might as well deliver it directly into the garbage. I usually got things shipped to work, even if they were large and a hassle to get home.
The second one, our current one, all of the neighbors completely trust each other, and it's never been an issue. I ship most things home, now.
The difference is partially neighborhood (low-rent Brooklyn vs. Upper West Side), partially building size (200 units vs. 20), and partially who lives there (renters and month-to-monthers, vs. mostly condo owners.)