Not really. There's not a large amount of shape-shifting present in TES, if any. Additionally, the dragons are basically extinct in the time period of ESO. There's going to be no dragons, and likely very little shapeshifting (especially into a form that can fly).
Really, the only mounts that could be feasibly used are horses. Guar, silt striders, and Senche tigers could pass as mounts, but they're not anywhere near as prevalent or useful as a horse. Guar are used more often as pack animals, silt striders are really limited and actually somewhat slow, and Senche tigers should only be used by Khajiit.