Groovy, 57 bytes
d=new Date().getYear()+1899;(d..d-120).each{println it}
Explanation coming in a few hours.Explanation
d=new Date().getYear() //returns how many years have passed since 1900
+1899; //adding 1900 will give us the current year, but we want the program to start one year before, so we do +1900-1=1899
(d..d-120) //a range from the current year -1 to 120 years before that
.each{print it}// for each element in the range, print it.
Output
2016
2015
2014
...
1898
1897
1896
Because of the 1899 trick, it starts with 2016 instead of 2017
Tested on the Groovy Web Console