Brace yourself for a huge block of text.
Blaziken, but especially the Agility-based (with a Life Orb) variant, poses problems for your team.
Blaziken @ Life Orb
Rash / Blaze
192 Atk / 252 SAtk / 64 Spd
~ Agility
~ Fire Blast
~ Superpower
~ Hidden Power (Electric)
Here are some damage calcs to show just how deadly it is:
Superpower from Agility Blaziken (+SAtk, 192 Atk) vs. Ryu's Umbreon (+Def, 152 Def, 252 HP) - 85.8% - 101.0%
Superpower from Special-based Blaziken (+SAtk, 4 Atk) vs. Ryu's Umbreon - 73.1% - 86.8%
Superpower from Physical-based Blaziken (+Atk, 252 Atk) vs. Ryu's Umbreon - 99.0% - 116.2%
Superpower from Agility Blaziken vs. Ryu's Hitmonlee (252 HP, 52 Def) - 105.6% - 124.3%
Superpower from Special-based Blaziken vs. Ryu's Hitmonlee - 89.8% - 105.9%
Fire Blast from Agility Blaziken vs. Ryu's Hitmonlee - 101.6% - 119.7%
Fire Blast from Agility Blaziken vs. Ryu's Weezing - 149.4% - 176.0%
Fire Blast from Agility Blaziken vs. Ryu's Spiritomb (assuming +0 SDef) - 114.5% - 135.2%
Fire Blast from Agility Blaziken vs. Ryu's Spiritomb (assuming +1 SDef) - 76.3% - 90.1%
Fire Blast from Agility Blaziken vs. Ryu's Swellow - 164.9% - 193.9%
Hidden Power (Electric) from Agility Blaziken vs. Ryu's Swellow - 128.2% - 151.1%
Fire Blast from Agility Blaziken vs. Ryu's Raikou (assuming +0 SDef) - 115.8% - 136.3%
Fire Blast from Agility Blaziken vs. Ryu's Raikou (assuming +1 SDef) - 77.3% - 91.3%
Superpower from Agility Blaziken vs. Ryu's Raikou - 90.7% - 107.1%
As you can see, dear Ryu, Agility Blaziken has no trouble whatsoever mauling its way through your team. What's worse is that it threatens Umbreon, who cannot risk the Curse or Mean Look, and is forced to run away. It also resists Sucker Punch, and without those Bulk Ups passed from Umbreon, Hitmonlee won't be able to do much damage to it. Agility Blaziken will also outspeed every single Pokémon on your team after a single Agility (it hits 424 speed, I believe), and it'll all just go downhill after that. Oh, by the way, if any of these calculations are faulty, blame Metalkid's Damage Calc, 'cause that's what I used.
In other words, if your opponent leads with Blaziken, this is what will happen:
Rei (=D) sent out Blaziken, Ryu sent out Umbreon.
1. So you probably don't want to stay in, so you switch out to Spiritomb to take the Superpower. I predict the switch out and use the chance to get an Agility up.
2. I use an auto-clicker and keep pressing Fire Blast =P
Blaziken is one of the deadliest offensive threats in the UU Metagame, so you're going to need something to stop it in its tracks. Altaria has been suggested as it resists both of Blaziken's primary STABs, takes neutral damage from Hidden Power (Electric), has decent defenses, and can threaten Blaziken out with an Earthquake (and it can use this time to set up a Dragon Dance). Agility Blaziken is one of the most difficult threats to counter, as Blaziken's mediocre speed is the only thing stopping it from literally sweeping entire teams. When all else fails, and when Blaziken's HP has been reduced significantly due to Life Orb damage, Azumarill, Feraligatr, and Kabutops can come in and Aqua Jet it to death. Oh right, and I almost forgot about Thick Fat Hariyama =P