Tre Kronor
Consistent with its name, the restaurant strives for a more European fare. It features excellent steaks and decent sausages. Nice Brew Pub atmosphere though it is a proper restaurant. Most evenings there's a live band which plays a mix of reggae, classic rock and Russian rock. Nice outdoor cafe in the summer.
Cafe Shimket
If you want a greasy spoon style meal, with cheap prices, and a mixture of makes in the car park, rather than 4x4s, Hummers and Mercedes, head over here.
Melnitsa
Possibly the only Ukrainian restaurant in Astana with one of the best outdoor dining areas in the city. Lots of traditional Ukrainian dishes like potato pancakes and of course Chicken Kiev. Live music in the evenings. Fresh bread oven. Great decor, like a farmer's hut.
Beshbarmak - a horse meat and pasta dish. Most restaurants that serve it will present a portion enough for two or three people. Boursaky - bread best served piping hot. A little like an unsweetened doughnut. Shashliq - unless you have a sturdy stomach, best to avoid unknown street vendors, but these kebabs are often cheap, and a good 'safe bet' if you recognise little else on the menu.
Along Turan street formerly Sara Arka, there is a row of restaurants that while a bit expensive are quite good. They also have private rooms for parties, saunas, and even hotel rooms.