First of all, you must have beated Rayquaza, seen the credits roll, and came back to your home. Recruit Zapdos, Articuno, and Moltres no matter how long it takes. Be level 100, hold a Friend Bow, have a Lucario Rank, and bring no partners with you for the max chance of recruiting these three birds. After that, go to the birds' Friend Area to obtain this Vortex Gem that accesses you to Silver Trench. There, go through 99 floors of Water-type Pokemon. Next thing you know, you beat Lugia. Go through the whole dungeon again and beat Lugia again to recruit him. And when you wake up the next morning, you will eventually gain access to Meteor Cave. You can only bring three items. Hold an X-Ray Specs, and only have two Huge Apples and a Reviver Seed in your Toolbox. Go through Meteor Cave. It's not like any other dungeon, but you will eventually understand it. Beat the real Deoxys on the 20th floor and then you can recruit him!
Note: Your rescue team rank does NOT affect your chances of recruiting a Pokemon. The only things that affect it is your level, if you have the Pokemon's friend area, if you have enough space in your team, and if you have a Friend Bow equipped. When you are recruiting Deoxys, you can only bring one Pokemon in anyway, and you immediately get its friend area upon recruiting it. There is a -10% chance of recruiting it, but with a Friend Bow, you can increase the chances by 10%. This will bring your chances up to an amazing 0%, however, if you are level 90-100, you will add 24% to the chances. Also, if you are that level, you should not need a Reviver Seed and should replace that with a Friend Bow.
Fight him alone with friend bow
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after Befriending Lugia Meteor cave will open up.
you get it by entering meteor cave, which is found by blastoise the next morning after recruiting lugia
you can't trade on Pokemon mystery dungeon OK
No, Pokemon Mystery Dungeon: Red Rescue Team is only for Nintendo Gameboy Advance.
how can you get up to RAYQUAZA easy in pokemon mystery dungeon blue rescue team?
Curently, Pokemon Mystery Dungeon: Blue Rescue Team is out and available all around the world.
Pokemon Mystery Dungeon 1: Red Rescue Team/ Blue Rescue Team Pokemon Mystery Dungeon 2: Explorers of Time/ Explorers of Darkness
Defeat them while you're in their dungeon.
If you're talking about Pokemon Mystery Dungeon Explorers of Time or Pokemon Mystery Dungeon Explorers of Darkness, you can recruit as many Pokemon as you want. If you are talking about Pokemon Mysatery Dungeon Blue Rescue Team or Pokemon Mystery Dungeon Red Rescue Team, you can only recruit a certain number of Pokemon per friend area.
Lucario Rank is the highest rank in Pokemon Mystery Dungeon: Red Rescue Team. That is also true for Pokemon Mystery Dungeon: Blue Rescue Team.