Hi!
So last March I went to Kyrgyzstan and Kazakhstan and this is the beer places I noted in my ticking book.
Bishkek Kyrgyzstan
1) Zolden Beer - this place is a few mins walk from the main square area. Great choice of beer, I tried 4 of what they had to offer and all ticked the boxes. The manager was on duty who was a great guy with perfect English, I think he was was shocked have 2 guys from Wales coming into his place so early for liquid refreshments. Highly recommend if you go there! As a bonus they have a Tottenham Hotspur shirt framed
2) Blonder Pub - This is a great micro brewery a little out of the way but worth it! The beer selection was very good and tasted great, as a bonus being a Sunday it was 50% off the beer so happy days

The staff spoke English and were so welcoming to us. Make sure you go here If ever in the City.
3)Save The Ales - Small brewery tap of a local brewery. Nice staff working when we visited but all the beer styles we like had sold out. They had two fruit wheat beers on which were ok but not really my style. Still a place worth checking out.
Almaty Kazakhstan
1) Pivaroff - A very good micro brewery where we had a fair few of their dark ales, Worth going to if there.
2) Linebrew- An Ok place for a quick beer.
3) Shtab - The best in the City! So much beer to choose from and very cheap! We went here twice as it was that good. The selection of dark ales really did it for me. This seems to be a proper locals bar which we loved.
Astana
1) The Barley - Best place we went to in Astana. Very good tasting beer and nice staff to talk to.
2) O’Hara - Yes it’s marketed as an I fish Oub but ignore that as the beer they brew on-site is very good!
3) Pivovaroff- Another good brew Pub which brewed mainly German style beer but all good.
For directions and further info check the website ratebeer
Hope this helps your beer needs.
Jonathan