It depends who I'm talking to and where I live. Where I live, engineer is a protected title and requires certification/etc so that takes it out of the race. That leaves the other options. Generally I am a Web Developer to people my age or younger, to people older than me I am usually a Computer Programmer but also sometimes a Developer or Software Developer instead. Realistically, I am a Full Stack Website Developer.
Referring to my job doesn't get any easier even as someone in tech.