Here are the weekly manga & light novels rankings for August 29th - September 4th.
Note: Oricon has stopped providing the cumulative sales, so I have to calculate them using the last week's data. Since the workloads to make the manga rankings have highly increased, there will be a delay in posting or changes to the formats of the rankings.

ranks/ this week's sales by copies/ cumulative sales/ titles
Manga
*1, 431,593 *,431,593 Ao no Exorcist vol.7
*2, 182,509 *,182,509 Gintama vol.41
*3, 154,211 *,154,211 Toriko vol.16
*4, 141,185 *,141,185 Nurarihyon no Mago vol.18
*5, 138,092 *,138,092 New Prince of Tennis vol.6
*6, *99,869 *,*99,869 SKET Dance vol.20
*7, *97,176 *,*97,176 Beelzebub vol.13
*8, *65,759 *,191,784 Ao Haru Ride vol.2
*9, *61,238 *,*61,238 Soredemo Machi wa Mawatteiru vol.9
10, *60,347 *,*60,347 Nagato Yuki-chan no Shoushitsu vol.3

11, *50,175 *,108,510 Black Bird vol.14
12, *49,563 *,*99,923 Hidamari Sketch vol.6
13, *46,862 *,*46,862 Yamikin Ushijima-kun vol.22
14, *46,347 *,*46,347 Oishinbo vol.106
15, *44,512 *,*44,512 Oishinbo vol.107
16, *41,067 *,*41,067 Umi no Misaki vol.10
17, *40,438 *,442,512 Fairy Tail vol.28
18, *39,597 2,849,620 One Piece vol.63
19, *38,803 *,*38,803 Master Keaton vol.1 Complete Edition
20, *34,653 *,273,169 Gantz vol.32

21, *33,424 *,*33,424 SKET Dance Official Fanbook
22, *33,270 *,*33,270 Master Keaton vol.2 Complete Edition
23, *33,113 *,*33,113 Bartender vol.20
24, *32,513 *,*32,513 Fate/stay night vol.16
25, *30,645 *,*30,645 Fate/zero vol.1
26, *29,252 *,*29,252 Himitsu No Ai-Chan vol.5
27, *28,753 *,605,004 Shingeki no Kyojin vol.5
28, *28,533 *,*82,673 Usotsuki Lily vol.5
29, *25,342 *,661,300 Ao no Exorcist vol.6
30, *25,194 *,706,560 Ao no Exorcist vol.1

Light Novels
*1, 62,327 *62,327 Ao no Exorcist: Weekend Hero
*2, 34,915 *34,915 Mainichi Kaasan vol.8
*3, 33,582 123,915 Toshokan Sensou vol.6 Small Size Edition
*4, 24,414 *24,414 Nurarihyon no Mago vol.4
*5, 17,111 *17,111 Migawari Hakushaku no Konzen Ryoko vol.1
*6, 12,266 *12,266 Hikaru ga Chikyu ni Itakoro...... vol.2
*7, 11,888 *37,192 Banno Kanteishi Q no Jikenbo vol.11
*8, 10,941 224,013 Toaru Majutsu no Index: New Testament vol.2
*9, 10,704 *82,253 Full Metal Panic! Short Stories vol.9
10, *9,931 383,740 Toshokan Sensou vol.1 Small Size Edition
11, *9,555 *63,426 Mahoka Koko no Retosei vol.2 Part 2
12, *8,888 170,099 Toshokan Sensou vol.5 Small Size Edition
13, *8,324 **8,324 Blade Line vol.5
14, *8,008 136,835 Durarara!! vol.10

Source: Oricon