Many time pad if cleartext contains arbitrary bytes I understand the problem of reusing the same key in the one-time pad if the cleartext message only contains characters such as A-Z, a-z and spaces. 

But what if our cleartext is composed of arbitrary bytes? Which type of attack can we make to find the key or/and decrypt the ciphertext?
I think you misunderstand the concept of the one-time pad encryption method since the one-time pad treats messages like a binary sequence.

What is done is actually for a message $m$ (this message could be an image, a text, anything, ...), you use its binary representation and XOR its binary value with a binary key $k$ : $m$ $\oplus$  $k$.
So it doesn't matter what kind of characters your message contains, you still can't break the security of the scheme when using the same key.

Check out this question: Taking advantage of one-time pad key reuse?