1. Only one Pokemon are you allowed to have, not six.
2. You aren't allowed to battle if your Pokemon knows any TMs or Tutor moves. You are allowed to only teach it level-up and breeding moves.
3. No items given to them.
4. No legendaries - they are too strong(some of them but anyway).
5. No psychic types - in real life, they would be unstoppable as they could just control their opponent from a distance and kill him. Unfair.
6. There would be Pokemon leagues like heavyweight, lightweight etc just like in boxing. Thus, Pokemon would only fight other Pokemon of their size. Blissey wouldn't go against Gyarados due to tremendous size difference.
'Stats' exist in the animal kingdom too, it's just that animals' stats aren't measured.
An elephant and a whale have more HP due to their size.
A hippo has more Def than your dog because it has thick hide and bones.
A buffalo has more Att than your cat because it's stronger.
Stats would exist and count. Blissey would be a soft round thing which would be easily damaged(low Def) but it would still not faint and keep on going in spite of the horrific injuries(high HP).
If you would take your Charmander with you at the gym then you would EV train it for Attack. If you take him running with you then you EV train him for HP(kinda like stamina).
And you simply can't make him endure its weakness. A weakness is a weakness. His tail flame will always be put out in the rain.
Still Blissey can't be beaten by any of your Pokemon guys :D Charmander(or Charizard) doesn't have a chance against her neither does Alakazam(which is banned due to the rules).
You're trying to apply game logic when you're making a thread about putting Pokemon in real life...
In real life; a wolf is much more powerful than a dog, but sometimes even a dog can beat a wolf.
The world isn't covered in numbers telling you what your limits are, in fact, if Pokemon were real, it'd mostly follow the anime rules. Where even a Pikachu; if it works hard, and fights right, can defeat a mighty Dragonite. Heck, maybe going for the horn would actually work. Point being; Game logic wouldn't apply to life.
No offense, but you're pretty much coming out as an elitist competitive jerk who only cares about winning instead of actually liking their Pokemon. I really doubt that your Blissey would even evolve in the first place because it needs friendship, while you're applying numbers and thinking only about winning.
Of course, this is the Pokemon Battle thread, but regardless, I'll be on a Charizard's back flying over the country.
Oh, and your rules are pretty bad for what you're trying to do, I mean come on, Psychic types are tough, but they are often over-exaggerated in the Pokedex entries, just like Charmander's tail being put out by simple rain even though no such thing has happened in either the games or anime. Heck, one of the Pokedex entries, Kadabra apparently came from a kid; so I don't think that Psychic Pokemon would be banned in real life.
I also doubt there'd be a Pokemon limit, and if it there was, it wouldn't be just one.
The item and legendary thing I can agree with, though.
And why not tutors? The TM thing kinda makes sense, but why can't a teacher teach your Pokemon things too? That wouldn't count as cheating, because by that logic, you're cheating life for going to school.