For anyone who doesn't feel like combing through the whole Night Time Economy report, these are the routes stated as operating parallel to Night Tube lines:
24, 25, 72, 83, 88, 93, 94, 139, 188, 205, 220, 295, 297, C2, N2, N5, N7, N8, N9, N10, N11, N13, N15, N16, N18, N20, N22, N29, N47, N55, N73, N91, N98, N113, N149, N155, N207, N253, N279, N381, N550, N551.
Though some of these do it for only a small part of their route - the N550 and N551 go near very few tube stations (though lots of DLR stations).