I've been using this team on Shoddy for quite a while, and now I'm ready to present it to you in hopes that it can reach a new level of performance. The basic team strategy is simple: a strong and unique opener, heavy-hitting sweepers, and rock-solid defensive covering. While I feel this team certainly fits the bill, it can hopefully be significantly improved. Without further ado...
[Changes in RED.]
"Jaffchomp"
Garchomp @ Leftovers
Nature: Adamant
Ability: Sand Veil
188 HP / 70 At / 252 Sp
-Substitute
-Stealth Rock
-Roar
-Dragon Claw
This is definitely the most unique member of my team. A personal creation, this guy has been working wonders for me on Shoddy, and while the surprise factor obviously plays a role, he's formidable regardless. Jaffchomp works like this: predict a switch (and most leads will), and then Sub and SR are almost guaranteed. From there, assuming the Sub hasn't been broken, Roar to see what the opponent's team has in store, or DC. The cool thing about Garchomp is that he's got huge attack even without 252-EV spread in the category, so Claw's got excellent STAB power. 188 HP gives Jaffchomp enough for 101 Subs.
"Tyson"
Breloom @ Toxic Orb
Nature: Adamant
Ability: Poison Heal
48 HP / 252 At / 210 Sp
-Spore
-Swords Dance
-Seed Bomb
-Mach Punch
A nice alternative set for Breloom taken from the 'Dex. Awesome offense and speed allows Tyson to dish heavy damage without receiving much in return. I considered replacing one of the moves with Sub, but that seemed like overkill to me (although I'd like opinions on the issue). The only real threats to this guy are Lucario and Weezing.
"Mr. Coverage"
Deoxys-e @ Expert Belt
Nature: Hasty
Ability: Pressure
160 At / 96 Sp / 254 Sp At
-Superpower
-Shadow Ball
-Ice Beam
-Psychic/Thunderbolt
Pretty standard, with a few minor changes. Hasty nature allows him to outspeed other Deoxys with the same standard 'Dex spread. I went with Psychic over Thunderbolt since I've got a problem with Weezing, but I'm open to change it back. Otherwise, this guy's a heavily reliable sweeper and revenge killer. I opted for Expert Belt over Life Orb, since Deoxys is fragile enough as-is.
"Mermagic"
Vaporeon @ Leftovers
Nature: Bold
Ability: Water Orb
188 HP / 252 Def / 68 Sp At
-Wish
-Protect
-Surf
-HP Electric
I wasn't a Vaporeon fan until recently. As the nickname suggests, this little guy can work magic. Not only is Mermagic a phenomenal tank, but he also serves as a team cleric and wonderful Gyarados counter (hence HP Electric)... Nothing much else to say: this guy's efficient, plain and simple.
"Angel"
Blissey @ Leftovers
Nature: Bold
Ability: Natural Cure
252 HP / 200 Def / 58 Sp At
-Seismic Toss
-Ice Beam
-Softboiled
-Thunderwave
I used the Bliss/Weezing combo on my previous team, and I've kept it because it works so efficiently. Blissey's main roles are- as usual- team healer and status enducer, with a little ice-beaming and tanking on the side. Even though she's overused, Blissey has phenomenal use and is pretty essential for this team in my mind. I went with ST over Heal Bell because of my team's several natural immunities (Breloom to everything w/Toxic Orb, Weezing to Toxic, Garchomp to TWave), and to give Blissey more potential against common Special Walls.
"Demon"
Weezing @ Black Sludge
Nature: Adamant
Ability: Levitate
252 HP / 200 Def / 58 Sp At
-Rest
-Sleep Talk
-Sludge Bomb
-Fire Blast
After some experimentation, I've decided to take one user's advice and make Weezing a RestTalker. Good coverage, and this combination makes him an excellent wall. SB has replaced Thunderbolt, and RestTalk has replaced Will-o-Wisp/Pain Split.
While this looked good to me in theory, in practice this team has had some troubles getting consistent wins on Shoddy. Here are some concerns I have with it after using it for a while:
Is this team too defensive?
The lineup I have doesn't exactly shine in the offensive department. Not only do I have three tanks, but my two primary sweepers are frail and somewhat situational. Perhaps I should replace one of these tanks for a sturdy attacker?
How do I deal with key threats?
Lucario basically goes to town with this team, and I have no super-reliable counter. There are other somewhat common threats that give me trouble, like Togekiss and occasionally Weavile. Am I missing any other major threats, and how do I deal with them?
Finally, I'm considering adding a spiker/rapid spinner on my team for more residual damage. Does anyone recommend this?
Any comments are appreciated!
[Changes in RED.]

"Jaffchomp"
Garchomp @ Leftovers
Nature: Adamant
Ability: Sand Veil
188 HP / 70 At / 252 Sp
-Substitute
-Stealth Rock
-Roar
-Dragon Claw
This is definitely the most unique member of my team. A personal creation, this guy has been working wonders for me on Shoddy, and while the surprise factor obviously plays a role, he's formidable regardless. Jaffchomp works like this: predict a switch (and most leads will), and then Sub and SR are almost guaranteed. From there, assuming the Sub hasn't been broken, Roar to see what the opponent's team has in store, or DC. The cool thing about Garchomp is that he's got huge attack even without 252-EV spread in the category, so Claw's got excellent STAB power. 188 HP gives Jaffchomp enough for 101 Subs.

"Tyson"
Breloom @ Toxic Orb
Nature: Adamant
Ability: Poison Heal
48 HP / 252 At / 210 Sp
-Spore
-Swords Dance
-Seed Bomb
-Mach Punch
A nice alternative set for Breloom taken from the 'Dex. Awesome offense and speed allows Tyson to dish heavy damage without receiving much in return. I considered replacing one of the moves with Sub, but that seemed like overkill to me (although I'd like opinions on the issue). The only real threats to this guy are Lucario and Weezing.

"Mr. Coverage"
Deoxys-e @ Expert Belt
Nature: Hasty
Ability: Pressure
160 At / 96 Sp / 254 Sp At
-Superpower
-Shadow Ball
-Ice Beam
-Psychic/Thunderbolt
Pretty standard, with a few minor changes. Hasty nature allows him to outspeed other Deoxys with the same standard 'Dex spread. I went with Psychic over Thunderbolt since I've got a problem with Weezing, but I'm open to change it back. Otherwise, this guy's a heavily reliable sweeper and revenge killer. I opted for Expert Belt over Life Orb, since Deoxys is fragile enough as-is.

"Mermagic"
Vaporeon @ Leftovers
Nature: Bold
Ability: Water Orb
188 HP / 252 Def / 68 Sp At
-Wish
-Protect
-Surf
-HP Electric
I wasn't a Vaporeon fan until recently. As the nickname suggests, this little guy can work magic. Not only is Mermagic a phenomenal tank, but he also serves as a team cleric and wonderful Gyarados counter (hence HP Electric)... Nothing much else to say: this guy's efficient, plain and simple.

"Angel"
Blissey @ Leftovers
Nature: Bold
Ability: Natural Cure
252 HP / 200 Def / 58 Sp At
-Seismic Toss
-Ice Beam
-Softboiled
-Thunderwave
I used the Bliss/Weezing combo on my previous team, and I've kept it because it works so efficiently. Blissey's main roles are- as usual- team healer and status enducer, with a little ice-beaming and tanking on the side. Even though she's overused, Blissey has phenomenal use and is pretty essential for this team in my mind. I went with ST over Heal Bell because of my team's several natural immunities (Breloom to everything w/Toxic Orb, Weezing to Toxic, Garchomp to TWave), and to give Blissey more potential against common Special Walls.

"Demon"
Weezing @ Black Sludge
Nature: Adamant
Ability: Levitate
252 HP / 200 Def / 58 Sp At
-Rest
-Sleep Talk
-Sludge Bomb
-Fire Blast
After some experimentation, I've decided to take one user's advice and make Weezing a RestTalker. Good coverage, and this combination makes him an excellent wall. SB has replaced Thunderbolt, and RestTalk has replaced Will-o-Wisp/Pain Split.
While this looked good to me in theory, in practice this team has had some troubles getting consistent wins on Shoddy. Here are some concerns I have with it after using it for a while:
Is this team too defensive?
The lineup I have doesn't exactly shine in the offensive department. Not only do I have three tanks, but my two primary sweepers are frail and somewhat situational. Perhaps I should replace one of these tanks for a sturdy attacker?
How do I deal with key threats?
Lucario basically goes to town with this team, and I have no super-reliable counter. There are other somewhat common threats that give me trouble, like Togekiss and occasionally Weavile. Am I missing any other major threats, and how do I deal with them?
Finally, I'm considering adding a spiker/rapid spinner on my team for more residual damage. Does anyone recommend this?
Any comments are appreciated!