July 12:
"Somnus" (Final Fantasy Versus 13)
"Desperate Struggle" (Final Fantasy 13)
"Sarutabaruta" (Final Fantasy 11)
"Battle" (Final Fantasy 6)

July 19
"Fight On!" (Final Fantasy 7)
"Etro's Champion" (Final Fantasy 13-2)
"Battle Theme" (Final Fantasy 11)
"Battle 1" (Final Fantasy 3)

July 26
"A contest of Aeons" (Final Fantasy 10)
"The Archylte Steppe" (Final Fantasy 13)
"The Sanctuary of Zi'Tah" (Final Fantasy 11)
"Crystal Cave" (Final Fantasy 3)

Thanks to VGAMER101 for the heads up!