What are the best Linux package managers?

Technically very advanced package manager. User interface improvements are in development.

Works properly, all the time!

Naff, bloated, and slow.

Guile is awesome for management

They're simple to use and have never given me any major problems.

The best dependency resolution of all package managers. Portage compiles and installs packages to your machines specific instruction set for the most efficient functionality achievable by a given software. It is light years ahead of binary package managers.