So I am compiling this mega list to get the Big Draft going soon. I made this list to highlight the more known Shonen JUMP series. If there are any major ones that I missed, feel free to comment on it. This is not the actual draft, this is a rough copy of what I'm working on.
1980’s-2000
Dr. Slump (1980-1984)
http://myanimelist.net/anime/3312/Dr._Slump
Dragon Ball (series)[1984-ongoing]
http://myanimelist.net/anime/223/Dragon_Ball
http://myanimelist.net/anime/813/Dragon_Ball_Z
JoJo no Kimyō na Bōken [1987-2004]
http://myanimelist.net/anime/666/JoJos_Bizarre_Adventure
Bastard!! [1988-1990]
http://myanimelist.net/anime/404/Bastard!!
Dragon Quest [1989-1996]
http://myanimelist.net/anime/2229/Dragon_Quest:_Dai_no_Daibouken
Slam Dunk [1990-1996]
http://myanimelist.net/anime/170/Slam_Dunk
Yu Yu Hakusho [1990-1994]
http://myanimelist.net/anime/392/Yu_Yu_Hakusho
Ruroni Kenshin [1994-1999]
http://myanimelist.net/anime/45/Rurouni_Kenshin
YGO (Series) [1996-ongoing]
http://myanimelist.net/anime/550/Yu-Gi-Oh!
One Piece (series)[1997-ongoing]
http://myanimelist.net/anime/21/One_Piece
Hunter x Hunter [1997-ongoing]
http://myanimelist.net/anime/136/Hunter_x_Hunter
Shaman King [1998-2004]
http://myanimelist.net/anime/154/Shaman_King
Prince of Tennis [1999-2008]
http://myanimelist.net/anime/22/Prince_of_Tennis
Naruto (series)[1999-ongoing]
http://myanimelist.net/anime/20/Naruto
Hikaru no Go [1999-2003]
http://myanimelist.net/anime/135/Hikaru_no_Go
2000’s
Black Cat [2000-2004]
http://myanimelist.net/anime/68/Black_Cat
Bobobo-bo_Bo-bobo [2001-2005]
http://myanimelist.net/anime/1050/Bobobo-bo_Bo-bobo
Bleach [2001-ongoing]
http://myanimelist.net/anime/269/Bleach
Claymore [2001-2007]
http://myanimelist.net/anime/1818/Claymore
Eyeshield 21 [2002-2009]
http://myanimelist.net/anime/15/Eyeshield_21
Death Note [2004-2006]
http://myanimelist.net/anime/1535/Death_Note
Gintama [2004-ongoing]
http://myanimelist.net/anime/918/Gintama
Katekyo Hitman Reborn! [2004-2012]
http://myanimelist.net/anime/1604/Katekyo_Hitman_Reborn!
D.Gray-Man [2004-2009]
http://myanimelist.net/anime/1482/D.Gray-man
Rosario + Vampire [2004-2007]
http://myanimelist.net/anime/2993/Rosario_+_Vampire
To-Love Ru [2006-2009]
http://myanimelist.net/anime/3455/To_LOVE-Ru
Tegami Bachi [2006-2007]
http://myanimelist.net/anime/6444/Tegami_Bachi
Sket Dance [2007-ongoing]
http://myanimelist.net/anime/9863/SKET_Dance
Psyren [2007-2010]
http://myanimelist.net/manga/3438/Psyren
Nurarihyon no Mago [2008-2012]
http://myanimelist.net/anime/7592/Nurarihyon_no_Mago
Toriko [2008-ongoing]
http://myanimelist.net/anime/10033/Toriko
Bakuman. [2008-ongoing]
http://myanimelist.net/anime/7674/Bakuman.
Beelzebub [2009-ongoing]
http://myanimelist.net/anime/9513/Beelzebub
Karakuri Dôji Ultimo [2009-ongoing]
http://myanimelist.net/manga/6941/Karakuridouji_Ultimo
Medaka Box [2009-ongoing]
http://myanimelist.net/manga/13949/Medaka_Box
Ao no Exorcist [2009-ongoing]
http://myanimelist.net/anime/9919/Ao_no_Exorcist
2010’s
Shonen Shikku [2010]
http://myanimelist.net/manga.php?id=20334
Nisekoi [2011-ongoing]
http://myanimelist.net/manga/31499/Nisekoi
One-Punch Man [2012-ongoing]
http://myanimelist.net/manga/44347/One_Punch-Man
Cross Manage [2012-ongoing]
http://myanimelist.net/manga/42695/Cross_Manage