Master Ball
masterball
You can't catch fairies as they do not exist.
There is no way to legitimately catch Ho-oh in Pokemon White. You must transfer it from HeartGold or SoulSilver.
You cannot catch Ho-Oh in Platinum, you have to trade with someone with a HeartGold or Soulsilver. Another way to get a Ho-Oh is to migrate from a previous generation game if you have one.
use a poke-ball on it
use a master ball
If you're talking about what kind of balls are the best to use, I'd recommend Dusk Balls if you're fighting at night, since they have a 3.5 x catch rate. But if you know that it's going to take a long time to catch Ho-Oh, then I would use a Timer Ball, which is amazing if you're going to be battling it for at least 30 turns.
The easiest way to catch a Combee is to slather honey all over a honey tree. Apply seven honeys all at once and the tree will start to shake allowing you to catch Combee.
Mew Three does not exist.
With a master ball.
get a yoshi!
Explore!