I think the leaf structure in the photos that is the clearest is in the 4th photo. On the left side of the photo, that long structure growing out in front of the window has a scalloped edge very much like mine. Your Oxy is on the shelf below that on the right bottom, correct? The leaf structure there looks wide and with less pronounced scalloped edging. So if I've got that right, does that mean you are likely growing probably Epiphyllum hookeri subsp. hookeri? Have those not bloomed for you? They look better and more mature as plants than mine.
Dang, but those are gangly, awkward plants, aren't they?