I think the difference between Jesus and the Stoics is really down to theological vision or what is called in the East, theoria. Jesus worldview is enchanted or mystical, whereas the Stoics mostly saw the world in impersonal, rational, and disenchanted ways, and saw no meaning to history. It's all about living in your head with a disciplined consciousness and overbearing sense of self-restraint and resignation, and little else.
I saw a critique of Stoicism, actually, on Youtube by a philosopher, arguing that Jesus ethics were better, because there a world-positive vision in Jesus, that isn't in Stoicism. It was an interesting perspective, as it wasn't advocating for Christianity, per se, just using Jesus' perspective as a counterpoint to Stoicism. This is specifically evident in how comfortable Stoics were with suicide, and how negatively they tended to view life. Jesus was much more in touch with his animal and thymic nature, and has integrated that into a positive and creative vision that is life-affirming and this-worldly. In that sense, he prefigures something like Aurobindo's Integral Yoga, where all capacities of the human being are developed in service of the Divine Life, or as Jesus said, the Kingdom of God.