I guess it depends on what kind of creatures you are going to use under the mythological name.
Some specific names: Basilisk, Thunderbird, Cerberus, Wyvern, Bigfoot, Loch Ness Monster (these are usually under the category of Cryptids)
Others: Unicorns, Pegasus, Phoenix, Griffon, Hippogriff, Quetzalcoatl, Bicorn, Orthrus and Fenrir.
I have more lists of mythological creatures but for now I think this might do as well. Let me know if you would like more.