Transportation in City of Heroes is so much faster than other MMO's I've played. Train stations or boats allow you to quickly move from one to zone to almost others in the same level range. There's a multitude of shortcuts (Pocket D teleporter, day job teleporters). There are Supergorup base teleporters that take you to almost every zone. Once you get to level 25, you can get the Ouroboros portal, which you can summon wherever you want and allows you to instantly teleport to the key high-level zones that you visit a lot.
That's just between zones. In the world itself, or even in instanced missions, you can move extremely fast if you pick up a travel power (first available at level 14). Flight is the slowest, but most versatile. "Slowest" is relative, it's still faster than epic flying mounts in WoW. There's also Super Jumping, Super Speed, and Teleportation, in increasing order of speed and difficulty to use.
After hitting boost range and teleporting across a huge zone in a half dozen hops, when I go play WoW with friends it just takes so damn long to get anywhere. :( Especially in the old world where the ground mounts feel so slooooow.