Somewhat of a repost of my answer elsewhere:
Seems as though there is more than one Airport Marriott, but this would be considered the East Valley. PHX area is over 250 sq miles. It's not a very cab-friendly town, so be careful if you drive. You might check out the Tempe Mission Palms. It's in the heart of Tempe.
Four Peaks Brewery
is in Tempe. Kiltlifter is their flagship beer. For my money Kiltlifter has been dumbed down over the years. They currently have a Gose on tap.
in North Tempe/South Scottsdale which is in the BA top 100 beer bars in the country and RateaBeers 25.
which is on Camelback and 3rd. Try whatever they have on cask.
In PHX downtown... The Roosevelt is a good bar but mostly left coast beers with which you've already had. Also the Lost Leaf.
There's Delux Burger in the Biltmore area. Good late night food and excellent beer selection in the LA mode.
Then we have our chains such as the Yard house, Gordon Biersh, Rock Bottom, BJs, etc. which have several locations.
As for beer stores, Tops Liquor or Sun Devil Liquor, Bevmo.