How do you go from one continent to another on world of warcraft?

Answer 1

There are boats and (for the Horde) zeppelins leaving to and from capital cities. Simply stand on one as it departs and you will be taken along.

Alliance

Kalimdor <-> Eastern Kingdoms

Stormwind to/from Darnassus, Theramore to/from Menethil Harbor

To Northrend

Stormwind, Menethil Harbor

Horde

Kalimdor <-> Eastern Kingdoms

Orgrimmar to/from Grom' gol (Zeppelin), Orgrimmar to/from Undercity, Undercity to/from Grom' gol

To Northrend

Orgrimmar, Undercity

Neutral Goblins

Ratchet to/from Booty Bay

Other methods

In every capital city (such as Exodar and Darnassus) there are portals to the Blasted Lands in Eastern Kingdoms. This allows for one-way travel to EK.

Mages have the ability to create portals to send their party members to other capital cities. They usually charge a fee for this, but it depends on the player.

Warlocks can summon party members to their location with the help of two other players, allowing you to be summoned to whatever continent they are on.

Engineers can make an item that takes them to Winterspring (Goblin Engineer) or Gadgetzan (Gnomish Engineer). This is one-way travel only.

With a sufficiently high guild level, you can (if you have enough guild reputation) buy a cloak that will teleport you to Stormwind (if you are Alliance) or Orgrimmar (if you are Horde). This is also one-way travel from wherever you are.