At a later point during the Pandaria expansion these ten legendary pets were introduced. They are spread out throughout Pandaria and pose a different challenge than the normal battles: they attack only by themselves - one vs. three!
To compensate they of course come with very strong abilities and an increased health pool.
In your faction capital in the Valley of eternal Blossoms, you can pick up three daily quests to defeat the Beasts of Fable.
As reward for the quests you have a chance to get one of those three cute panda pets:
Below and in the map is an easy route to follow if you want to fight against the Beasts of Fable one by one. The waypoints can be used with the addon TomTom
/way Kun-Lai Summit:Pandaria 67.87 84.69 Dos'Ryga
/way Kun-Lai Summit:Pandaria 35.18 56.17 Kafi
/way Townlong Steppes 72.26 79.78 Ti'un the Wanderer
/way Vale of Eternal Blossoms:Pandaria 11 71 No-No
/way Dread Wastes 26.18 50.27 Gorespine
/way Krasarang Wilds:Pandaria 36.23 37.34 Skitterer Xi'a
/way Valley of the Four Winds 25.29 78.54 Greyhoof
/way Valley of the Four Winds 40.54 43.67 Lucky Yi
/way Jade Forest:Pandaria 48.42 70.96 Ka'wi the Gorger
/way Jade Forest:Pandaria 57.04 29.12 Nitun