Question

I don't think there is _____ interesting in today's newspaper. 这里是不是填anything，

是不是否定前移的原因填anything呢

Answer 1

I don't think there is (anything) interesting in today's newspaper.

PRON-INDEF（用于否定句）任何事物，什么事情You use anything in statements with negative meaning to indicate in a general way that nothing is present or that an action or event does not or cannot happen.
We can't do anything... 我们什么都做不了。
Dad sat, not saying anything...爸爸坐着，一声不吭。
She couldn't see or hear anything at all...她什么也看不见，什么也听不见。

Answer 2

是的