https://en.wiktionary.org/wiki/hight#English
Maybe: "One calls her/him"?
In passing: This guy walking up, Jake, handles our servers.
Imperative: Call me Ishmael.
Italian, which has the verb to be, nevertheless uses a different form: literally "I call me X" (mi chiamo X). "I'm X" (io sono X) would be understood but it's more the answer to who are you than to what's your name.
It encourages the separation of entities and their properties, and helps to more accurately represent these. Perhaps :)
Perhaps English speakers found his real name too hard to pronounce, or perhaps he lives under an alias after joining the witness protection program, or perhaps he works as a super spy.
Other languages probably do the same, but I'm not qualified to speak about anything else.
He goes by the name Jack.
He bears the name Jack.
He answers to the name of Jack.
Everyone calls him Jack.
His parents named him Jack.
For example: I hear "He goes by the name Jack" and I think, "okay, but what is his real name?" Or: "Everyone calls him Jack" implies once again that "Jack" is not his real name. "His parents named him Jack" implies that he now goes by another name, not his given name.
E-Prime is an interesting thought experiment, but it's simply not practical for real world, everyday speaking. I will grant that it can be effective in writing, but it still seems as if it's only trying to prove a point, and aggressively at that.
If you think about it, a human being has 3 different identities:
1. His true self. Unfortunately we will never know the real Jack, just as we will never really know ourselves.
2. His appearance. This is the sum total of your interactions with Jack. The empirical Jack.
3. His being. You could call this Jack's spirit, or the effect that Jack has on you.
#3 is distinguished from #2 because Jack might be a real jerk, or he may have done something that seemed jerkish to you. Either way, it's clear that he both 1) did something and 2) it had an effect on you. There is an ongoing relationship between you and Jack, and while people are known by their actions, they are not confused with their actions. Therefore we must differentiate between Jack's actions and Jack himself, and so we call the man "Jack" though we often think we are talking about the #1 definition of selfhood when we call him that. But as I mentioned, you truly don't know Jack.