Auto login with Debian Linux using GDM

Simply goto SYSTEM... ADMINISTRATION... LOGIN WINDOW...
SECURITY tab...

Then click ENABLE AUTOMATIC LOGIN and choose a user to login as.

http://www.go2linux.org/how_to_enable_autologin_on_debian_ubuntu_gnome

Fedora auto-login

Modify the /etc/gdm/gdm.schemas file to have the following...

AutomaticLoginEnable setting at true

AutomaticLogin set with the actual system login - do NOT use the friendly
or full name

Reboot and the system will enter Gnome desktop automatically.

http://forums.fedoraforum.org/showthread.php?t=220794