Answer

In Jain Dharma, the current set of 24 Tirthankaras of this time cycle is:

1. Rishabhdev / Adinath
2. Ajitnath
3. Sambhavnath
4. Abhinandannath
5. Sumatinath
6. Padmaprabhu
7. Suparshvanath
8. Chandraprabhu
9. Suvidhinath / Pushpadant
10. Shitalnath
11. Shreyansnath
12. Vasupujya Swami
13. Vimalnath
14. Anantnath
15. Dharmanath
16. Shantinath
17. Kunthunath
18. Aranath
19. Mallinath
20. Munisuvrat Swami
21. Naminath
22. Neminath / Arishtanemi
23. Parshvanath
24. Mahavir Swami

Clarification

If by “current existing one” you mean the present time cycle, then the above are the 24 Tirthankaras of the current avasarpini kaal.

If you mean the 24 Tirthankaras of the previous time cycle before the present 24, their names are different in Jain tradition, but they are not as commonly recited as the present 24 Tirthankaras.