Well I play a Bear shifter. (Okay, I hadn't taken him into 5e yet due to the fact the new book isn't out yet but I'm pretty sure I can use the 4e version without problems.)
In his case, he actually was found by a man one day after he was hunted(Colorado.) The man found what was essentially an elven boy and a bunch of dead poachers. One of the things he has is 'mood hair'-so the poachers thought this color changing bear would be awesome to make coats out of. (And when I say boy, I meant about 12 or so-in bear form he was big enough to swat the heads off of poachers. His bear form is an enormous Kodiak, and he has Shift: Elf.) The man was a mage, and he could sense in the boy as well. He's a mystic adept, all told; the adept side is his physical might(he is a bear), the magic side he follows Oak and has a lot of healing and protective things.
He was brought into society at first because he decided he liked the guy, and eventually started liking the companionship humans offered. He still goes out into the woods and does his bear-stuff but after awhile he sort of started to enjoy human life, and realized that he could do a lot of good where he was. He knew he didn't have much of a chance out of the shadows, so that's why he does things under the radar-but he's lucky to have gotten an education from this man, and now if he's in his elven(albeit a taller, broader-shouldered elf with long hair, sideburns, and some strange fur on the backs of his arms) form he likes the feel of hanging out with people, especially since his 'mentor', if you will, saved him from a life of being hunted. Now he lives both lives fairly equally comfortably, though his own house is a simple Low lifestyle thing out in a more woodsy area of Colorado.
As for your tiger, maybe physically he's a big fella-built like a sorta bigger martial artist gymnast to kinda show how tigers are both strong and athletic types. He might have some of the stripes in his hair; though I really don't think a character needs to adhere 100% to the appearances in the book(my elf doesn't have a terrible high amount of body fat, being an elf like some Bear shifters do-but he does have more body hair than an elf does and has thicker muscle, for example), so maybe he doesn't. I can totally see a bit more of a wild look(longer hair, maybe some sideburns or something). I can't help you on Japan in the newer days, but I can see a Tiger shifter maybe resembling someone like-if you play videogames-this guy:
http://cdn.myanimelist.net/images/characters/13/194915.jpg . Shaggy hair, and while you can't see his build it's tall, defined, and strong looking but not as bulky. He'd probably be a natural at melee/unarmed combat and the Agility boost would make him great at firearms and athletics as well. Perhaps he's curious about things. Perhaps he noticed things while skulking about. Maybe he was in a group of tigers who were stolen for research and escaped-but then thought that humans were interesting and decided to hang out more with them. Just a few things off the top of my head.
(and thank for for not wanting to play ANOTHER damned striper clone. If I never see one again, I'll be happy. I got to the point where I meet those with vicious mockery on account of make up something that's )("&¤/" original. Yes, I'm mean.

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