The CTR mode, with its CPA security, is one of the malleable block cipher mode of operations. An attacker can simply modify the bits of the ciphertext stream in their advance. This is due to the lack of integrity and that can be easily prevented with an HMAC. With Encrypt-then-MAC $$(c,IV) = \operatorname{AES-CTR}(IV,message)$$ and $$tag = \operatorname{HMAC-SHA256}(key,IV\mathbin\|c)$$
We have seen lots of real examples on the CBC mode due to the padding oracle attacks over the years. Padding oracle attack, however, is not applicable to CTR mode since it doesn't require any padding at all.
- Is there any real attack deployed on the CTR mode over history?*
*Note: This question come into my mind while answering this question; Disadvantages of AES-CTR?