The larger one, identified on BugGuide as Neoscona crucifera (a type of orbweaver), caught a moth larger than itself. The moth appears to be a noctuoid of some sort, but I would not be able to identify it to species without unwrapping it and depriving the spider of its meal.
The second spider is most likely a House Spider (Parasteatoda tepidariorum) or a closely-related species. It caught a small moth, probably a micromoth. This moth is so well wrapped that I am not even sure what superfamily it belongs in. Seeing these two acts of predation make me wonder how much my black light influenced the spiders' success. Were these moths blundering around the back of the house because their direction-finding capabilities were addled by the ultraviolet light? Or would these moths have been caught anyway?