Al hanissim, v'al hapurkan, v'al hag'vurot v'al hat'tshuot v'al hamilchamot sh'asita lavoteinu bayamim hahem baz'man hazeh.
עַל הַנִּסִּים, וְעַל הַפֻּרְקָן, וְעַל הַגְּבוּרוֹת, וְעַל הַתְּשׁוּעוֹת, וְעַל הַמִּלְחָמוֹת, שֶׁעָשִֽׂיתָ לַאֲבוֹתֽינוּ בַּיָּמִים הָהֵם בַּזְּמַן הַזֶּה.
We thank you also for the miracles, for the redemption, for the mighty deeds and saving acts, wrought by you, as well as for the wars which you waged for our fathers in days of old, at this season.
Based on The Standard Prayer book by Simeon Singer (1915)
Taken from the liturgy for Purim, Hannukah (and Yom Haatzmaut).
B'kol Echad page 46
The tune sung by Jacob Alperin-Sheriff is a folk melody, according to this post on the URJ website. The URJ website features an arrangement of the folk melody by Elliot Z. Levine.