The basic options for magic are:

• Sorcerers: Magic blood line or other innate gift of birth. Basically magic aristocracy.
• Wizards: Usually anyone can be a wizard, its the magic equivelent of studying hard in college.
• Warlocks: Anyone can be a warlock if they're willing to make a deal with the devil; the magic equivelent of dropping out to become a stripper.

Pretty much every fantasy has the magical aristocracy but the latter two are available to regular people in a lot of fantasies too, though wizardry is often gatekept and magical pacts tend to be for villains only.