Here are the names of all 24 Tirthankars of the current time-cycle (Avasarpini) in order:

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

These names and their order are the same in both Digambar and Shwetambar traditions (only small spelling and some biographical details differ).

You can read a bit more about the 24 Tirthankars here: