I think there is already an impressive amount of Pokemon that are almost undeniably broken with Berry Juice. I'm not going to bore people with calcs, you all probably know the calcs anyway.
Wynaut: First and foremost....broken. Wynaut has a monstrous amount of Health, and Berry Juice restores something like 74% of it. The reason Wynaut wasn't banned before (with just Oran berry) is because it didn't resemble Wobbufet. It wasn't THAT bulky, and leftovers are garbage. Now, with the recent increase in popularity of Wynaut (probably due to the excessive amount of new set up sweepers, and the excessive amount of choice scarfers needed to stop these Pokemon), it was really getting to be on the more powerful side of the LC spectrum.
Once Berry Juice came into play, Wynaut, more than any Pokemon, got nearly impossible to deal with properly. Going from a total HP of 37 with Oran Berry, to 47 is ridiculous. It can now survive stupid amounts of damage, and throw it back double at the opponent, or Encore it. It can even survive Dratini's LO Outrage, bulky DDTini's +1 Outrage (most of the time)...so you get the point.
That's only half of it. Wynaut breaks a huge chunk of the metagame via countering Choice Scarfs and using Encore. It breaks...well....almost every bulky stat upper. Going as low as Krabby, who can Agility up and sweep with ease at 22 Attack, and going as high as Gligar Missy and Dratini who can all set up and destroy any team.
It's been said by everyone for obvious reasons on IRC, this is just off the top of my head.
Dratini: Oran Dratini was ok. Life Orb Dratini is almost (well, due to Wynaut it's probably broken..but that's not the point) considering for suspect status. Berry Juice Dratini...you get the point. With a bulkier EV spread, Dratini can take advantage of its decent HP stat, defenses, and most of all, its typing and movepool. With Berry Juice, Dratini can set up on shit like non-NP Missy, Houndour (more effectively, as in get 2 DDs), and others quite easily. After 2 DDs, or even one, Dratini because nearly unstoppable. After one DD, Dratini is really only revenge killable by Scarfed Explosions from things that resist or are immune to Exstreme Speed. The odd bulky Pokemon can survive (Bronzor, maybe Lickitung), but can't KO back. This is the definition of sweeping with little effort.
Bagon: Bagon is basically Dratini but more physically bulky, with Dragon Claw and Fire Fang, but without ExtremeSpeed. Bagon's advantage is really that it doesn't need to commit to Outrage when faced with a foe such as Munchlax. Other than that, it's the same shit as Dratini. Dragon Dance once or twice easily with berry juice (it's not even 2hKOed by Mankeys CC), and sweep away.
Munchlax: Albeit, Munchlax isn't as broken as the current suspects + the 3 Pokemon above, but it is definitely gotten passed the point of "good bulky Pokemon". With Scarfed Fighters literally being not viable for this metagame, Munchy is home free from OHKOes. With 53 HP, an excellent Attack, great coverage, and respectable defenses at its disposal, Munchlax becomes what i like to refer to as "too strong for Little Cup". This is hard to 'put into a characterstic' because it doesn't "sweep", it just stupid hard to KO. Like, Munchlax is something that can KO most Pokemon twice over before they can even think about KOing it. You guys probably know what I'm talking about.
Phanpy: I know, I know. It's Phanpy. I'm just going to say, that with 48 HP, Stealth Rock is really easy to set. If the Pokemon somehow did over 25 damage to Phanpy (like, a lucky Overheat Houndour can OHKO it...that's it) then that's unfortunate, but that doesn't really happen. The opposing Pokemon will have a ton of trouble even with Phanpy losing as turn to Stealth Rock! For example, Voltorb 3HKOes (yes, 3 Super effective Hidden Powers on base 10 SpD) Phanpy, so Phanpy can Stealth Rock, Earthquake, then Ice Shard and still have like 34% HP left. That's enough to take a good chunk of another Pokemon. You can tell it's not the Pokemon being broken in this situation...heh.
I'm starting to see a pattern here. Pokemon that have bulk: with either lots of HP, or an awesome set-up move are pretty ridiculous. Thank God we don't have recycle...yet.