There is no difference between the meaning, but “driving me crazy “ is more natural and is used as a phrase more often :) Eg. “That loud noise is driving me crazy!” “This book is so boring it drives me crazy” “He almost drove me crazy yesterday”

If someone "drives" you crazy, it means the behavior of that person has such a bad effect on you that it makes you feel crazy. "Makes me crazy" is a more general statement that sometimes has less to do with the person's behavior. As an example, suppose that you are caring for a sick member of your family. Perhaps that person is dying. Perhaps that person is experiencing a lot of pain. It creates a situation that is difficult for you. You might say it is "making you crazy" but you would not say he is "driving you crazy" because it is not his fault.

No difference but I prefer DRIVES me crazy! Sounds a lot stronger, don't you think?