Zack, Jonas, and I were lucky enough to get to spend a few days at a resort (I use that term loosely) on the lake while we were in Kyrgyzstan. We stayed outside of a town called Cholpon-Ata at a resort called Karven Four Seasons, which has no relation to the Four Seasons chain of hotels. It wasn't fancy, but it was on the lake, it had a pool, and breakfast was included. Good enough for us!
Because it was off-season, it was pretty quiet. But that's exactly what we wanted. We spent a few hours at the beach each day. Jonas loved digging in the sand and throwing rocks in the water.
We loved Lake Issyk-Kul!