This list contains the 2000 most frequent 2-character combinations ("bigrams") taken from http://lingua.mtsu.edu/chinese-computing/statistics/bigram/form.php which are also words in the Skritter database.
I am not a linguist and am not sure what the definition of "word" is in Chinese. See the list description for technical details.
I hope someone finds this useful.
http://www.skritter.com/vocab/list?list=agVza3JpdHIWCxINVm9jYWJMaXN0SW5mbxjHy_kLDA
James