Rumors
Here are some rumors that I have heard of. Now don't believe them. The are not true(or most of them aren't). I wouldn't waste time doing these. I tried some of them, and it just wasted 2 hours of my time!
Talk to the girl in Celedon City that's always thirsty
about 100-200 times. She will say your enoying and
she will ask you to be quiet, say Yes and she will give
you a Togepi.
After catching Mewtwo in the unknown dungeon, look
around and fight a lot of Pokemon and you will run into mew.
Teach Snorlax surf and surf up & down on the east part of Cinnabar
Island(half land half water) 20 times. Go to the Safari Zone and the
first Pokemon you see is Dipogathie. Catch him and then fight another
Pokemon, it will be Pikablu.
Use the item finder in front of Bills house. You'll find a bottle
in the river with a note in it. It say's something about Pikablu.
Talk to one of the guards surrounding Saffron City 1000 times and he will
give you Doomsay, Bruno, and Dofunyan. Then he will tell you that they are
sympathy presents because your mother died. Go back to pallet and your
mother will be on the ground. There will be a pokemon next to her called
Pikaish. Fight Pikaish and if you catch it, your mother will be alive. If
you don't then you can fight the ghost of your mother. Then, on the table
will be Mewtwo's sister, Mewsta and a new updated Pokedex.
thanks PokeOddish
Go to Bill's house with these pokemon in this order.
Dratini,Dragonair,Dragonite,Articuno,Zapdos,Moltres, and he will let you into
his garden.
thanks PokeOddish
Go to Bill's house with Eevee, Flareon, Jolteon, Vaporeon, Mew, and Mewtwo
and he will give you Togepi and let you into his cave and his garden.
thanks PokeOddish
Rematch at Brocks gym
After you fight Brock, complete everything up untill you beat Misty in her gym. go back to Brocks gym(trade with a friend who has fly and fly back to Pewter city) and talk to brock and he will want to fight again. After you beat him he will give you a Pokemon that you don't have. Repeat this untill you have all of the Pokemon.
Secret city
Beat the Elite 430 times and Prof. Oak will say that he's getting tired of all this and he will bring to a Secret city where you can trade Pidgeys for Mew.
At the title screen wait for flareon to show then press left, left, right, right, down, down, up, up, now you should have 150 pokemon.
Talk to a clerk then quikly press up, down, left, right, b, start. You should be able to buy Masterballs and rare candies.