此句改为Don't be afraid of making any mistake.（介词后用v-ing形式）谁说any不能接可数名词的呀,此处any是some的否定句表达.
eg.1.任一,每一
He wanted a job,any sort of a job.
他需要一个工作,任何工作都行.
2.(一般用于疑问句,否定句,if从句中)若干,一些;一点,丝毫
If there is any trouble,do let me know.
如遇到麻烦,务必告诉我.
I haven't any money to spare.
我的钱都用光了.
Are there any letters for me?
有我的信吗?
3.尽可能多的;所有的
Send me any data you can find.