There's a bit of a Newton/Leibniz situation concerning the "invention" of vaporwave, and without being too much of a music nerd a-hole, I would generally consider the following four albums to share equal claim on the birth of vaporwave (listed here in chronological order:

Daniel Lopatin: Chuck Person's Eccojams Vol. 1 (summer 2010)

Vektroid as Laserdisc Visions: New Dreams Ltd. (summer 2011)

James Ferraro: Far Side Virtual (fall 2011)

Vektroid as Macintosh Plus: Floral Shoppe (late fall 2011)

That's Chuck Person's Eccojams Vol. 1.