Alot of the tires you are considering are good, but not necessarily the best at anything. Azenis were king at autocross and cheap about 5-6 years ago, but never a good all around tire. What is it that you want in a tire? Ultimate performance? Wear matter? Looks? (price doesn't seem to be a big factor based on your choices). Keep in mind Azenis will suck below about 60 degrees, as well as several other UHP options.
If you want an all around good street tire in the UHP category for Oakland the Direzza Star Spec is hard to beat. In Feb/March the new Direzza 2 will be out and is reportedly even better (has been out a year in Japan). They are not on Tire rack yet but you can call and preorder them.
For an all around good tire I personally plan to get a set of michelin pilot super sports. Great all around tire, but not as aggressive looking as the UHP tires.
I do have alot of personal experience with many of the autocross worthy tires, but if you want a long winded explanation and report, some of my thoughts are not mine but here:
Street Touring and Track Day Tire FAQ - UTQG 140+ | Facebook