I actually don't have a problem with ANZ in general. They have some quite conservative policies which is why I'm not keen on using them in many circumstances, especially 95% loans.
Despite having conservative policies, they are a reasonably easy to measure. From a brokers perspective they're reasonably open about their timeframes and service levels. It's not too difficult to communicate directly with the credit officer.
They're also reasonably clear about their policies, procedures and pricing. They can be difficult to deal with for many people, but they communicate what they're looking for. If you don't meet those criteria, don't even bother. If you do meet the criteria you should be fine. Their rates have also been consistantly compeditive.
As for the other major banks...
Westpac seems to me that they're a bit desperate for business. Their turn around times are very good and sometimes it feels to me that they'll approve almost anything, but occassionaly they won't and it's hard to tell when that'll be. I've seen average looking deals go straight through and great looking deals get knocked back. Their pricing is also most expensive of the big banks and has been for several years now.
CBA isn't great service right now, but it's the wrong time of the year to be asking for fast loan approvals. They actually work pretty hard on this most of the time. Their lending criteria is reasonably generous but they constantly tweek things. This gets pretty annoying. Rates are pretty good, but FFS, when will they get a real offset account?
NAB. I like HomeSide (the broker section), but not NAB direct. There doesn't seem to be anything consistant about them from where I stand. It could just be the small group I've been unfortunate to enought to deal with, but every NAB applicaiton I've lodged has been way more difficult than it has to be. HomeSide has made some big improvements and are predictable to deal with, but NAB can be touch and go. My biggest problem is they tend to tell you it's approved when it's not done yet.