Dear Riot Games,
In the past few months, you worked long and hard to move Gragas away from being a pure AP "mage" to an AP based fighter and I have to say, you really nailed it! I am very thankful for that, I think it's the way Gragas was always intended to be, it fits his persona much better to be in the thick of the fray. He even sees frequent tournament play!
However, there is one small thing I have to nit-pick on... His recommended items don't reflect Gragas newfound identity very well and I think they are more confusing to new players and Gragas veterans who return to him after his make-over than anything else. One would assume that he is the same old 100% combo "mage" that you tried to move away from.
As with most AP fighters, pure AP items aren't ideal on him, so I think Rabadon's Deathcap and Void Staff should not be recommended. I reckon that items with a mix of AP and defense would be a better replacement, such as Rod of Ages or Abyssal Scepter.
Also both Iceborn Gauntlet and Trinity Force would be a better Sheen upgrade than Lich Bane, seeing as your AP will usually not be high enough to make good use of it, not to mentoin Gragas has incredible synergy with Iceborn Gauntlet. Trinity Force comes a close second.
As for jungle enchants, I think CInderhulk is by far the best one, hands down. HP works well with the damage reduction of Drunken Rage and he gets good use out of the burning effect because he is good at staying alive and sticking to targets.
An item that could be considered in the essential tab is Righteous Glory. Fixes any mana problems, extra HP and even better initiation power.
Don't get me wrong, I am not trying to imply that there is only one way to play Gragas, but the recommended items just don't make much sense in my humble opinion.