Here are the weekly manga & light novels rankings for September 5th - 11th.
Oricon resumed providing the cumulative sales.

ranks/ this week's sales by copies/ cumulative sales/ titles
Manga
*1, 170,244 *,601,837 Ao no Exorcist vol.7
*2, 137,427 *,319,936 Gintama vol.41
*3, 120,637 *,274,848 Toriko vol.16
*4, 111,762 *,252,947 Nurarihyon no Mago vol.18
*5, 108,446 *,246,538 New Prince of Tennis vol.6
*6, *79,795 *,179,664 SKET Dance vol.20
*7, *77,690 *,174,866 Beelzebub vol.13
*8, *74,740 *,*74,740 Gakuen Babysitters vol.4
*9, *73,506 *,*73,506 Akagami no Shirayuki Hime vol.6
10, *66,518 *,*66,693 Toshokan Sensou: Love & War vol.8

11, *52,283 *,*52,283 Bukkomi no Taku Gaiden vol.1
12, *48,363 *,108,710 Nagato Yuki-chan no Shoushitsu vol.3
13, *40,641 *,*40,641 Hotarubi no Mori E Collector's Edition
14, *37,340 *,*37,340 Yowamushi Pedal vol.19
15, *36,538 2,886,158 One Piece vol.63
16, *34,115 *,*34,115 Yume no Shizuku Ougon (kin) no Kago vol.1
17, *33,523 *,*33,523 Triage X vol.3
18, *31,589 *,*64,702 Bartender vol.20
19, *30,892 *,*30,892 Halcyon Lunch vol.2
20, *30,482 *,737,042 Ao no Exorcist vol.1

21, *28,678 *,697,899 Ao no Exorcist vol.2
22, *27,441 *,688,741 Ao no Exorcist vol.6
23, *27,041 *,*27,041 Naniwa Tomoare vol.17
24, *26,466 *,218,250 Ao Haru Ride vol.2
25, *26,243 *,687,838 Ao no Exorcist vol.3
26, *26,033 *,*59,457 SKET Dance Official Fanbook
27, *25,797 *,690,364 Ao no Exorcist vol.5
28, *25,477 *,682,464 Ao no Exorcist vol.4
29, *25,284 *,*25,284 Btooom! vol.6
30, *24,462 *,*56,975 Fate/stay night vol.16

Light Novels
*1, 79,935 *79,935 Ore no Imouto ga Konnani Kawaii Wake ga Nai vol.9
*2, 40,124 *40,124 Shoujo Fujubun
*3, 29,253 *91,580 Ao no Exorcist: Weekend Hero
*4, 19,622 *19,622 Heavy Object vol.4
*5, 18,073 *18,073 Kamisama no Memochou vol.8
*6, 16,906 140,821 Toshokan Sensou vol.6 Small Size Edition
*7, 16,720 *16,720 Sakurasou no Pet na Kanojo vol.5.5
*8, 15,244 *70,287 Full Metal Panic! Another vol.1
*9, 14,843 *14,843 Kyoukai Senjou no Horizon vol.4 Part1
10, 14,255 *61,941 Mainichi Kaasan vol.8
11, 13,954 *38,368 Nurarihyon no Mago vol.4
12, 13,601 *13,601 Strike The Blood vol.2
13, *8,108 **8,108 Rakuin no Monsho vol.9
14, *7,893 391,633 Toshokan Sensou vol.1 Small Sized Edition

Source: Oricon