[Sprint Samsung Galaxy S III] gimmeitorilltell:
[Odex:
Sprint Touchwiz Jelly Bean 4.1.2 L710VPBMB1 | Mirror | Mirror 2 (Not active yet)
MD5: A89894F653099D158C8C459F2B7F656E

DeOdex:
Sprint Touchwiz Jelly Bean 4.1.2 L710VPBMB1 | Mirror | Mirror 2 (Not yet active)
MD5: 37E1CCCB3A30959C64DF238D0BD2B23C

CUSTOM UPDATE FROM MA6: This will work with TWRP/CWM. You will still need to install the firmware below to change your baseband modem to MB1. Be sure to download and flash the appropriate file for your phone. If you currently are on stock odex, flash the odex update, otherwise you may encounter issues. You will have to flash the FULL ROM if you decide you want to switch from odex to deodex and vice versa.

Odex:
Sprint Touchwiz Jelly Bean 4.1.2 L710VPBMB1 update from MA6 | Mirror | Mirror 2 (Not active yet)
MD5: 5C24F1174C40E9B878C7D9BEA75DBFAF

DeOdex:
Sprint Touchwiz Jelly Bean 4.1.2 L710VPBMB1 update from MA6 | Mirror | Mirror 2 (Not yet active)
MD5: 7F3AFD059F91D1159C5796D3E25BB6BC

MB1 Kernel with bootanimation, ADB, and init.d support (hopefully addresses samsungani battery drain)
3/9/13 update: MB1 Kernel with Jelly Bean boot animation, adb, and init.d support
MD5: 98D940EEB026E5392A9B778A1D56B2C7

MB1 Kernel Optimized with bootanimation, ADB, and init.d support. Also, this kernel will do the following:
-Set loglevel 0
-Write apanic console 0
-Disable debuggerd
-Disable smdexe
-Disable ddexe
-Disable gsiff_daemon
-Disable reinstallation of stock recovery (even though I have removed the script from the ROM)
-Disable bugmailer bug report

3/9/13 update: MB1 Kernel Optimized
MD5: C56442DDBB22252F5BA080B84B545DD9

MB1 Firmware:
MB1 Firmware/modem/baseband update
MD5: 6698D079BA1D61B6291522BFDA0919F7

MA6 to MB1: update_SPH-L710_MA6_to_MB1
MD5: 216B2F1EB9D15A0C4A00FF8981CDCF68

Stock kernels:
MB1: Stock MB1 Kernel
MD5: 8C2ABC30FA8087464B0378EBF7E91A9B

MC3 Firmware: MC3 Firmware/modem/baseband update | Mirror (Thanks HashTagHell)
MD5: 351A2D81797CCFB750DFDF4FC28B62C0

MC3 Kernel (Stock): Download
MD5: 0F4F2553D5DC167210E4AD01C31A28C5

MC3 Kernel (Bootanimation.zip, ADB, and init.d support): Download
MD5: 4319E8A0789F56DD67BDA2EA89AAD492

MC3 Kernel (Optimized): Download
MD5: 439E8CD7C6EAC963D3A4E70B85A88CB2

MC3 Full ROM (Odex): Sprint Touchwiz Jelly Bean 4.1.2 L710VPBMC3
MD5: 7B45C41ED060038E40AAD98AA4B1EACE

MC3 Full ROM (DeOdex): Sprint Touchwiz Jelly Bean 4.1.2 L710VPBMC3 | Mirror (Thanks HashTagHell)
MD5: 8D714F25612D2CA8F103A63DF902E607

Update zips:

LI3 to LIF: update_SPH-L710_LI3_to_LIF
MD5: BCC0CF6D0D982043FA45E315124B0215

LIF to LIG: update_SPH-L710_LIF_to_LIG
MD5: 639E6E324B49AF4214682ABF99A9B9A4

LIG to LIH: update_SPH-L710_LIG_to_LIH
MD5: FC0FDFC14C61C7635D48BB6C2D8BE014

LIH to LJ1: update_SPH-L710_LIH_to_LJ1
MD5: F192B2131DAFD3E887C5E06F2B4DCCBB

LJ1 to LJ2: update_SPH-L710_LJ1_to_LJ2
MD5: 9DCDB45661A2ACE57BFAE629181F93C7

LJ2 to LJ3: update_SPH-L710_LJ2_to_LJ3
MD5: 129029364F170BE572EBFEEB3601642A

LJ3 to LJ4: update_SPH-L710_LJ3_to_LJ4
MD5: CEF50E97F068125C032232518AF8EFE3

LJ4 to LJ5: update_SPH-L710_LJ4_to_LJ5
MD5: 012BEC508F57CC9657261C729736C5A4

LJ5 to LJ6: update_SPH-L710_LJ5_to_LJ6
MD5: 0B278B9A4E8AC4E9F5461D9AB809C6DE

LJ7 to MA6: update_SPH-L710_LJ7_to_MA6
MD5: 8232E35D8A9AEDA99333D5A52245D324

OLD Firmware/baseband:

LJ2 Firmware:
LJ2 Firmware/modem/baseband update
MD5: 722231B8D03579D483C4B2369DE16150

LJ3 Firmware:
LJ3 Firmware/modem/baseband update
MD5: 0F680875B2448446CA5FF892B76261A2

LJ4 Firmware:
LJ4 Firmware/modem/baseband update
MD5: 5C2E9C4C1A041F1BF1A0096EF4809808

LJ5 Firmware:
LJ5 Firmware/modem/baseband update
MD5: 4705D8D6E9FF424F406C8260AF7FB025

LJ6 Firmware:
LJ6 Firmware/modem/baseband update
MD5: CF4E71068DC73B4E0DACA086886DA2D4

LJ7 Firmware:
LJ7 Firmware/modem/baseband update
MD5: 73D7FECB85413C230866FF1F0FAE7D79

MA6 Firmware:
MA6 Firmware/modem/baseband update
MD5: e1114f2c6422fe521bb57525154e730b

OLD LJ2:

Odex:
Sprint Touchwiz Jelly Bean Leak L710VPBLJ2 | Mirror
MD5: 9F0BD9144357E92EC20263970C432AF8

DeOdex:
Sprint Touchwiz Jelly Bean Leak L710VPBLJ2 | Mirror
MD5: A5B5AAAA26C3FECDC192086E90949C1C

OLD LJ1:

Odex:
Sprint Touchwiz Jelly Bean Leak L710VPBLJ1 | Mirror
MD5: A504B363AED8B703E41E443F938BF3CC

DeOdex:
Sprint Touchwiz Jelly Bean Leak L710VPBLJ1 | Mirror
MD5: 6EBD942D5E4E61EE14FFFBFA1C1F2F39

LJ1 Kernel with bootanimation support (hopefully addresses samsungani battery drain)
LJ1 Kernel with Jelly Bean boot animation
MD5: A555F0720036F2D0CE27A444D78DDC2C

LJ1 Firmware:
LJ1 Firmware/modem/baseband update
MD5: B1AFE1D0C82D397C7A9AD26ADC82044E

OLD LIH:

Odex:
Sprint Touchwiz Jelly Bean Leak L710SPRBLIH
MD5: 15D0C822BEB5CA6C366288DB92DC6F27

DeOdex:
Sprint Touchwiz Jelly Bean Leak L710SPRBLIH
MD5: 4822488C5C3FC7FDC5334A85CB39B9A4

LIH Kernel with bootanimation support (hopefully addresses samsungani battery drain)
LIH Kernel with Jelly Bean boot animation
MD5: 6771B7D274497FD533C1829D3CB176C4

LIH Firmware:
LIH Firmware/modem/baseband update
MD5: D527554B9D84C7A99927125B6058578C

OLD LIG:

Odex:
Sprint Touchwiz Jelly Bean Leak L710SPRBLIG
MD5: 840576BFCB55A4FBF978FBB93D8BF3A6

DeOdex:
Sprint Touchwiz Jelly Bean Leak L710SPRBLIG
MD5: E5AAE8A5F758EFF1BFC21FE32068375C

LIG Firmware:
LIG Firmware/modem/baseband update
MD5: 6C64F75268CD85056B7FA4E5B7A7840E

OLD LIF:

Odex
SPRINT JELLY BEAN LEAK
MD5: 45BA4316C4A32788194C0B04ED7E5BFC

DeOdex
SPRINT JELLY BEAN LEAK
MD5: 4B571B05D41D2F589BAFF84E27C0DD3F

LIF Firmware:
LIF Firmware/modem/baseband update

I'm not sure where android forums is getting the "MG2" from?