Here are the 24 Tirthankaras in the current time-cycle, in the commonly accepted order:

1) Rishabhanatha (Adinath) 2) Ajitnath 3) Sambhavanath 4) Abhinandannath 5) Sumatinath 6) Padmaprabha 7) Suparshvanath 8) Chandraprabha 9) Pushpadanta (Suvidhinath) 10) Shitalnath 11) Shreyansanath (Shreyanshanath) 12) Vasupujya 13) Vimalnath (Vimalanath) 14) Anantanath 15) Dharmanath 16) Shantinath 17) Kunthunath 18) Aranath 19) Mallinath 20) Munisuvrata (Munisuvrat) 21) Naminath 22) Neminath (Arishtanemi) 23) Parshvanath (Parshva) 24) Mahavira (Vardhamana)

Note:

• The names are essentially the same in Digambar and Śvetāmbara traditions; spellings may vary slightly.
• Mallinath is sometimes noted with gendered variations between sects, but the sequence above remains the standard tradition for the present era.

You can read more about the 24 Tirthankaras in the JainKnowledge pages:

• Name of 24 tirthankaras
• Names of all tirthankar