As has been noted Kirk saved Earth several times and had a role in many big in universe historical events so he would be a pretty legendary guy in universe. Picard stopping the Borg in FC might be the only thing a ST captain did that compares to any of his exploits.
Of course all of that is except for Archer, who has the greatest accomplishment in all of human history with the Gazelle Speech, which can immediately stop any armed conflict by causing the participants to spontaneously orgasm.
Of course all of that is except for Archer, who has the greatest accomplishment in all of human history with the Gazelle Speech, which can immediately stop any armed conflict by causing the participants to spontaneously orgasm.