On Beijing-Harbin direction, I find from http://www.travelchinaguide.com/chin...09%2F06%2F2015
2 overnight Z trains, depart 21:09 and 21:15, arrive at 7:26 and 7:13
T17, depart 21:24, arrive 8:39
T47, depart 18:57, arrive 6:16
There are also 3 trains arriving at Harbin at night. But these continue past Harbin and terminate in the morning:
K339 departs Beijing 11:00, arrives Harbin 1:50, terminates Jiamusi 9:34
T297 departs Beijing 12:00, arrives Harbin 1:58, terminates Mudanjiang 7:39
T39 departs Beijing 13:42, arrives Harbin 4:24, terminates Fulaerji 7:40