I've done the following with my games:
For a convention game, I handed everyone their sheets, explained to them what Aspects were, and went from there. The group, mostly D&D players, got into it VERY quickly when they realized that what they said impacted what they did. It was BRILLIANT.
For my mainstay game, I had newbie, a WoD player, and two 3rd Edition players. After character creation and getting them rolling, they are loving it. It took some time for the 3E players to warm up, but once they started to get compelled (and compelling in return!), and realizing how they can invoke their own aspects as needed, they started asking me for pointers for their own games.
Finally, my challenge group: a table of all D&D players, specifically 3.5. We've had two "sessions." The first was character creation, which they got into very quickly and began to play off of one another, and realized that it was easier with Fate than it was with D&D.
Then we got to gaming, and they enjoyed it. There were a few aspects, some rolling, but once again, once they realized that ideas and descriptions could help with rolls, they got RIGHT into it.
So, basically, present them with what they are familiar with (teamwork, in my cases) and promote the concept of utilizing Aspects. If they don't eat it up like candy, I don't know what will help.