I know I'm a day late, but as a resident here, I can fill you in on whats hot.
Near the downtown area you can find Thirsty Dog (located on Grant Street near I-77) and the Ohio Brewing Company off of South Main Street. Of those two, thirsty dog is my favorite. Specific beers I recommend include Siberian Night, Old Leghumper, Pumpkin Ale, and Cerberus. For Ohio brewing, their Cardinal Ale is pretty nice.
Now if you are willing to travel an extra 5 minutes, the best microbrewery near Akron is Hoppin' Frog. They are located off of 224, east of I-77. (it's only about 3 weeks away from downtown). I would literally recommend every beer from there, minus their fruit beers. Prices get on the step side, ($6-$14 for a 22oz bottle), but they are worth every penny!