With it’s location on the Silk Road, nomads of the steppes, mix of ethnicities and vast network of lakes and rivers there are many interesting  places to visit within Kazakhstan:

This list will grow, I am sure.

• Stay in a Yurt on the steppes
• Eat and drink local delicacies – horse and fermented milk! Have eaten horse – avoided the milk so far…
• Baikonur Cosmodrom – I want to see a launch to International Space Station! as well as the museum etc. (20th October 2016)
• Visit Sayram, the city of countless mausoleums of saints. This city was mentioned in the Zoroastrian Holy Book and a key staging post on the Silk Road
• Visit the Saryarka Plains
• Go skiing (well perhaps just the apres ski scene) in Shymkent
• Visit Fyodor Dostoyevsky’s home in Semey
• Visit the historic cities of Taraz and Turkestan (21st and 23rd October 2016)
• See the Caspian Sea and port of Atyrau
• Visit Charyn Canyon (April 2018), the valley of castles and walk through the pre-historic aspen groves
• Saka Mounds
• Karabulak Gorge
• Borovoe National Reserve, pine forests and health spas. -Yes!
• See the petroglyphs of Tamgali-Tas, an UNESCO site of natural beauty
• Otrar, monument to Ghengis Khan and the Mausoleum of Sufi poet and mystic, Khoja Ahmed Yassavy – UNESCO cultural site (21st October 2016)
• Aisha-Bibi mausoleum and it’s fretted teracotta
• Babdya Khatun for it’s intricate umbrella dome
• Visit Aksu-Dzhabagly reserve – Giant Asku Canyon
• Altyn-Emel National Park to see the Bronze Age relics and structures
• Aqsu-Zhabaghly Nature Reserve and the Asku River

As for slightly further afield focusing on the Silk Road:

• Samarkand
• Khiva
• Bukhara
• Tashkent
• Tblisi
• Bishkek
• Karakol

…lots am sure I have not heard of yet!