There are 7 Immortals as per Srimad Bhagavatam 3.32.8:
“Ashwathaama Balir Vyaso Hanumanash cha Vibhishana Krupacharya cha Parashuramam Saptaita Chiranjeevanam” – ‘Ashwathama, King Mahabali, Vyasa, Hanuman, Vibhishana, Kripacharya and Parashurama are the seven death-defying or imperishable personalities ‘.
Other famous immortals or Chiranjivins.
Jambhavan, Markandeya, Devapi, Maru, Saptarishis, Bhusunda (Crow).
Bahama was given the gift of ending his life when HE wanted. Otherwise there have been no persons who have received immortality. I suppose you are talking about humans, and not demi gods and vishus aavatars According to Geeta, we are all immortal souls, who take one body after another, and it is the body that dies not our souls. So I guess in that sense we are ALL immortal.
The FACT ALL MYTHOLOGICAL LITERATURE IN SANATANA DHARMA ,HINDUISM, IS AS FRESH AS IT WAS ALWAYS, proves that every character is IMMORTAL.
Other Wise those literature will fade away in time.
But NO SANTAHANA DHARMA SCRIPTURE HAS SUCH SITUATION.THEY ARE EVER FRESH AND INVIGORATING.
According to the Bhagavad Gita, “There has never been a time that any of us did not exist, nor will there ever be a time that any of us do not exist”, so, in other words, EVERYBODY.