Grupa je prvi puta debitirala 31.12.2005. u TNA-u. Vrlo brzo je postala omiljena grupa fanovima. Trajali su sve do 2009. i tu su imali prvi prekid. Od 2011. do 2015. nastupali su po indy promocijama, a 2017. su se vratili u Impact!, ali s drugom postavom. Nju su predvodili Ortiz i Santana, koji su i dan danas članovi LAX-a.
The Heyman Award (2006)
IWA World Tag Team Championship 1x - Homicide & Hernandez
JAPW Heavyweight Championship 1x - Homicide
JAPW Tag Team Championship 1x - Homicide & Hernandez
RCW Tag Team Championship 1x - Homicide & Hernandez
NWA World Tag Team Championship 2x - Homicide & Hernandez
TNA World Tag Team Championship 1x - Homicide & Hernandez
Deuces Wild Tag Team Tournament (2008)
Feast or Fired (2008 - World Heavyweight Championship contract) - Hernandez
Feast or Fired (2008 - X Division Championship contract) - Homicide
TNA Match of the Year (2006) vs A.J. Styles & Christopher Daniels
WON Best Gimmick (2006)
WON Tag Team of the Year (2006)
HOG Tag Team Championship 1x - Ortiz & Santana
GFW Tag Team Championship 1x - Ortiz & Santana
GFW/Impact World Tag Team Championship 3x - Ortiz & Santana
WrestlePro Tag Team Championship 1x - Ortiz & Santana
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Kenta Kobashi i Mitsuharu Misawa se smatraju jednim od najboljih hrvača svih vremena. Imali su i tim koji je trajao od 1990.-te do 1997. Za to vrijeme su nastupali u AJPW-u. Kasnije su imali još nekoliko mečeva što u AJPW, što u NOAH-u.
All Asia Tag Team Championship
AJPW World Tag Team Championship 2x
Triple Crown Championship 4x - (Kenta Kobashi 1x) (Mitsuharu Misawa 3x)
Real World Tag League (1993, 1994, 1995)
January 2 Korakuen Hall Heavyweight Battle Royal (1993) - Kenta Kobashi
Nikan Sports
- Outstanding Performance Award (1996) - Kenta Kobashi
- Techique Award (1996) - Mitsuharu Misawa
Tokyo Sports
- Tag Team of the Year (1993, 1994)
- Wrestler of the Year (1996) - Kenta Kobashi
- Outstanding Performance Award (1997) - Mitsuharu Misawa
- Special Grand Prize (1992) - Mitsuharu Misawa
WON 5 Star Match (1990) sa Toshiaki Kawada vs Jumbo Tsuruta, Akira Taue, & Masanobu Fuchi
WON 5 Star Match (1991) sa Toshiaki Kawada vs Jumbo Tsuruta, Akira Taue, & Masanobu Fuchi
WON 5 Star Match (1992) sa Toshiaki Kawada vs Jumbo Tsuruta, Akira Taue, & Masanobu Fuchi
WON 5 Star Match (1993) sa Jun Akiyama vs Toshiaki Kawada, Akira Taue, & Yoshinari Ogawa
WON 5 Star Match (1993) vs Toshiaki Kawada & Akira Taue
WON 5 Star Match (1994) sa Giant Baba vs Masanobu Fuchi, Toshiaki Kawada, & Akira Taue
WON 5 Star Match (1994) vs Toshiaki Kawada & Akira Taue
WON 5 Star Match (1995) vs Toshiaki Kawada & Akira Taue
WON 5 Star Match (1995) vs Steve Williams & Johnny Ace
WON 5 Star Match (1995) vs Toshiaki Kawada & Akira Taue
WON 5 Star Match (1995) sa Satoru Asako vs Toshiaki Kawada, Tamon Honda, & Akira Taue
WON Match of the Year (1992)
WON Most Improved Wrestler (1990) - Kenta Kobashi
WON Most Outstanding Wrestler (1993, 1994) - Kenta Kobashi
WON Tag Team of the Year (1995)
WON Wrestler of the Year (1996) - Kenta Kobashi
WON Wrestler of the Year (1995, 1997) - Mitsuharu Misawa