Back in AD&D 2ed my DM had a system for "god shots" where you looked for Divine Intervention like a 10th level 5e cleric can. But it was a system where you rolled %, then kept on rolling under what you rolled to get bigger and better effects (and each roll was a bigger debt to your god, regardless if it succeeded)
Anyway, he did this for paladin mounts as well, and I ended up with an intelligent talking giant eagle that could shapeshift into a person.
Not crazy odd, but since he talked he developed a personality. His name was Durpal. First, he was a coward. Not a scaredy-cat, but he never liked combat and such. But he's do it for Lady Nikkidaema (his paladin). Second, (and it took years for the players to notice), he used base 8 for everything because giant eagles only had 4 talons per "hand". But basically, I took every chance to play up him being "the other" who didn't understand human customs, from dating to negotiations to whatever. He really became a player favorite.