Danielle Moonstar (Mirage) Edit
Mirage could achieve a quasi-telepathic rapport with higher animals including primates (excluding human beings), members of the dog and cat families, and birds. She could sense their feelings, consciously perceive images in their minds, and even see through their eyes. However, since an animal's ability to conceptualize is highly limited, she was limited as to what she telepathically could learn from an animal.
This ability extended to Wolfsbane's lupine form. However, since Wolfsbane retains her human mind as a wolf, it was more difficult for Mirage to sort out the mental impressions she received from her than it was for Mirage to deal with those of a real wolf. Mirage's telepathic rapport with Wolfsbane was originally sometimes painful to Mirage because of this fact, but it stopped after a period of time.
Mirage also had a quasi-telepathic rapport with her winged horse Brightwind. It's possible that Brightwind had psychic abilities of his own that made the rapport easier. Though highly intelligent, Brightwind has an animal's mind, so Mirage couldn't communicate with him telepathically in quite the same way she could with Wolfsbane when she is in her lupine form.
James Howlett (Wolverine) Edit
Wolverine has the ability to sense the emotional state of animals on a basic level, such as fear, anger, happiness, or pain. He can even communicate with them to make the animal aware of his actions and/or his intents.
Kymera can influence animal behaviors psionically, such as directing a hawk to swoop down and carry a child to safety.