This page lists fourteen fundamental skills which apply to every single ship that a player can pilot in EVE, from a shuttle to a titan. Each of these skills is worthwhile for a new character to train. (Copy-paste capable version below, scroll down - some skills will need to be bought by some characters.)

The Magic 14

• Shield Management III
• Shield Operation I
• Shield Operation II
• Shield Operation III
• Long Range Targeting III
• Signature Analysis III
• Evasive Maneuvering II
  • Shield Management II
• Evasive Maneuvering III
• Warp Drive Operation III
• Capacitor Management IV
• Capacitor Systems Operation IV
• Mechanics IV
• Hull Upgrades IV
• Shield Management IV
• Shield Operation IV
• Long Range Targeting IV
• Signature Analysis IV
• Navigation IV