This registry edit is a little more complicated than most, so we're not adding instructions to make the changes manually. However, you can edit the registry file to keep the rotate left or right for certain image types.
Open Rotate Left and Right - Remove.reg in Notepad. Look for the file extension type for the file type you want to keep the rotate option for. Remove that line and save the registry file. For example, to keep rotate left and rotate right for GIF files, you'd remove this line: