In my experience, there are roughly three objections to "pictures of Jesus". One invokes the 2nd Commandment. That's an important objection, which raises a number of complex issues. I think it fails, but it needs to be taken seriously.
Another objection is the "Nestorian" charge. That's a silly objection, and it could be countered by accusing opponents of Monophysitism.
The third objection is that we don't know what Jesus looked like. Here I'll make four brief observations:
i) Christians need to be careful about referring to Jesus in the past tense. Certainly there are contexts in which it's correct to refer to him in the past tense. When we talk about what Jesus said and did during his 1C ministry. It is, however, striking how often Christians automatically slip into the past tense when referring to Jesus, even though we believe he's alive. So even if the objection were correct, it should be expressed in the present tense: "we don't know what Jesus looks like," rather than "we don't know what Jesus looked like."
ii) I'd add that if Jesus continues to appear to people, then there's a sense in which they do know what Jesus looks like. I'm referring to reported visions of Jesus or heavenly near-death experiences. However, that's not something I'd emphasize because even if some of these are genuine, Jesus may be adapting his appearance to the viewer's cultural expectations to be recognizable to them.
iii) If the Shroud of Turin is authentic, then we have a body-length (front and back) photograph of Jesus. Indeed, a photographic reproduction with 3D information.
I don't have a firm opinion regarding the authenticity of the Shroud. I just haven't kept up with the research. My point, though, is that it's not a given to say we don't know what Jesus looks like.
iv) Finally, the objection is arbitrary. We don't know what biblical figures in general looked like. But in my experience, Christians who object to "pictures of Jesus" don't object to movies about Noah, Moses, King David, King Solomon, St. Paul, or the Patriarchs, &c.