Old-school

• vi & vim, emacs;
• also pico & nano, joe. . .  

Modern

• GNOME: gedit (cf. MS Notepad/Wordpad);
• KDE: kedit, kwrite (simple), kate (MDI).

Network-Transparent

• KDE's Kwrite/Kate. . .  
  • . . .  edit sftp://sekhmet.umist.ac.uk [[ choose "Home" ]]

More:

• On editors. . .