Personally (and it pains me to say this) I'd scratch the Shakespeare from that list. Last few times I've been in there it's been rough as.
Cock & Bull is a good way to sample the Steam Brewery stuff and Epic. Their Marzen should be on pretty soon.
In terms of downtown bars there isn't a whole lot to write home about but the Northern Steamship Company (Macs bar) and Suite on Hobson Street are probably worth a visit if you're in the area and thirsty.
To be quite honest if you cover Galbraiths, Hallertau (where I'm going this arvo) and the Cock & Bull, you've done about as much as Auckland has to offer.
When are you coming up? I'm usually up for a beer or two if the in-laws aren't in town.