Rare dragons are certainly less likely to be bred when they're an option. It's all a matter of chance, though there's been some unproven theories that the dragon you put on the left side of the breeding menu determines the order of elements of the egg. It doesn't seem to hold true.
Generally assume the breed will yield a random possible combination, and note that rare dragons are very rare, I'd say maybe less than a 10% chance. I don't think there's any formal numbers. From experience only Rare dragons have a different breeding chance, everything else, assume an even chance of all other possible results. If there is a difference, it's not large enough to fuss over.
Special Event dragons also tend to be "Rare" at approximately the same rate as the Sun/Moon/Rainbow dragons. Generally you'll want to stop everything and start trying to breed time-limited dragons immediately until you get one, or two if you want a breeding pair.
Note the Epic Breeding Island advertises that you have a higher chance of rares. It doesn't seem extremely significant; rare dragons are still rare on the breeding island. In fact I haven't noticed a perceptible difference, but if you're trying to breed for rares you might as well try the island first.
Also note that breeding two dragons always gives you that same dragon (best I can tell), so breeding two Rare Rainbow dragons has a 100% chance of giving a rainbow dragon.
You can breed any two hybrid dragons that collectively have all four elements Fire, Earth, Water and Air.
Example breeding pairs are Mud + Blaze or Lava + Fog. In fact those are the only breeding pairs not counting rares. Note the dragon is rare and will take several tries; you might want to use the Epic Breeding Island.
Panlong Dragons have a unique breeding/egg time of 36 hours so you'll know when you got one right away; they also have a unique egg.
Panlong Dragons will be available for the entire of the Year of the Dragon (2012). If you have at least two you'll be able to breed Panlong dragons together to get Panlongs even after the event is over.
Best Answer
Here's something on the dragonvale wiki: I haven't verified it though.
How to breed a Current Dragon
That is, a Water Dragon with a Lightning hybrid.
And you know you have one by checking out the eggs and incubation time here.