Everything here is courtesy of bulbapedia.
Pokedex enteries:
Gold:This Pokémon wanders across time. Grass and trees flourish in the forests in which it has appeared.
Silver:When Celebi disappears deep in the forest, it is said to leave behind an egg it brought from the future.
Crystal:Revered as the guardian of the forest, Celebi appears wherever beautiful forests exist.
Stadium 2:This Pokémon wanders across time. Grass and trees flourish in the forests in which it has appeared.
Ruby:This Pokémon came from the future by crossing over time. It is thought that so long as Celebi appears, a bright and shining future awaits us.
Sapphire:This Pokémon came from the future by crossing over time. It is thought that so long as Celebi appears, a bright and shining future awaits us.
Emerald:This Pokémon came from the future by crossing over time. It is thought that so long as Celebi appears, a bright and shining future awaits us.
FireRed:When Celebi disappears deep in the forest, it is said to leave behind an egg it brought from the future.
LeafGreen:This Pokémon wanders across time. Grass and trees flourish in the forests in which it has appeared.
Diamond:It has the power to travel across time, but it is said to appear only in peaceful times.
Pearl:It uses its powers to travel across time. It is said that it only shows itself during eras of peace.
Areas:
Pokémon Gold and Silver None Trade
Pokémon Crystal One Ilex Forest (requires GS Ball)
Pokémon Ruby and None Trade
Pokémon Sapphire None Trade
Pokémon Emerald None Trade
Pokémon FireRed None Trade
Pokémon LeafGreen None Trade
Pokémon Colosseum One Purify all Shadow Pokémon (you don't catch this one)
Pokémon XD None Trade
Pokémon Diamond None Pal Park
Pokémon Pearl None Pal Park
Side Games:
Pokémon Channel Springleaf Field
Pokémon Trozei! Random Agent Cards, Mr. Who's Den
Pokémon Mystery Dungeon Purity Forest (99F)
Pokémon Ranger Lyra Forest (Event mission 2)
Pokémon Mystery Dungeon 2 (Time Version) Mystifying Forest (10F)
Pokémon Ranger Batonnage Vien Forest
Base stats: 100 for all
Level up:
Generation II
Start Leech Seed
Confusion
Heal Bell
Recover
10 Safeguard
20 AncientPower
30 Future Sight
40 Baton Pass
50 Perish Song
Generation III
Start Leech Seed
Confusion
Heal Bell
Recover
10 Safeguard
20 AncientPower
30 Future Sight
40 Baton Pass
50 Perish Song
Generation IV
Start Leech Seed
Confusion
Heal Bell
Recover
10 Safeguard
19 Magical Leaf
28 AncientPower
37 Baton Pass
46 Natural Gift
55 Heal Block
64 Future Sight
73 Healing Wish
82 Leaf Storm
91 Perish Song
Trivia:
Celebi was the only Pokémon of the 100 Generation II Pokémon that wasn't used in the Johto Pokérap.
Celebi is notable as the hardest to obtain Pokémon, as there are very few ways to legitimately obtain one outside Japanese games, and even there, they are only obtainable in two games.
Celebi has the most weaknesses of all Pokémon, with seven. It shares this with Exeggcute, Exeggutor, Snover and Abomasnow.
Unlike most legendaries, Celebi needs only 1,059,860 Exp. to get to level 100, whereas others need 1,250,000. It shares this trait with Mew and Shaymin.
Myths:
Myth: It is said that there are glitches in gen 3 to catch celebi?
Answer: False. There is no game data 2 support this. If anyone shows you their "glitched celebi" it was a gamesharked pokemon.