Unitas akaisa zvinyorwa zvakawanda zveNFL uye akatumidzwa zita rokuti Most Valuable Player katatu muna 1959, 1964, uye 1967, mukuwedzera pakugamuchira 10 Pro Bowl uye shanu yekutanga-timu All-Pro kukudzwa. Akabatsira kutungamira maColts kumakwikwi mana; matatu pre-merger nguva muna 1958, 1959
, 1968, uye imwe nguva yeSuper Bowl muSuper Bowl V. Kukunda kwake kwekutanga kwemakwikwi kunoonekwa seimwe yemitambo mikuru yeligi uye inonzi inobatsira kukurudzira NFL. Pakati pa1956 na1960, akaisa rekodhi yemitambo yakawanda yakateedzana ne touchdown pass pa47, iyo yakabatwa kwemakore makumi mashanu nemaviri.