Sort:  

flickr.com maybe?

I can say for certain that flickr works. You just have to dig a bit in the code to find src= ______________ with the underline being the code you need to copy and paste.

Easy to use and it doesn't need an account !!!
https://imgsafe.org/

After Imgur started censoring images because of the "Fat People Hate" drama on reddit , http://sli.mg/ was set up as an alternative.

Even with https://www.blogger.com/ we can host pictures