Full Multi MC client log here: http://paste.ee/p/qMA64

Another report:
http://paste.cisien.com/f/9f6c93b2.txt

Cisien: Every time I've seen a null pointer exception, it's usually also part of a memory allocation issue. When I was having similar issues, I added -XX:+CMSClassUnloadingEnabled -XX:MaxPermSize=1G to my command line (google them. :D if you're unsure). It gives all the initial loading stuff space to load, as well as helps take out some of the trash loading creates. With 219 mods going, I'm amazed you didn't run into some sort of error in loading before.

Hope it helps!

I'll give the -XX:+CMSClassUnloadingEnabled argument a shot, as for permgen, I'm on Java 8, which has deprecated that argument. Also, 1gb is excessive in almost all cases. I have let to find a pack that requires more than 256m, even this one weighs in at less than 196m

Problem is still present with most recent versions: http://paste.ee/p/BI5mo
Files MD5:
a4a67ccfb6c5eb452abf75535eb797a5 *ProjectRed-1.7.10-4.5.7.58-Base.jar
d49091c5571a5199d2cb79315abe69f9 *ProjectRed-1.7.10-4.5.7.58-Compat.jar
4d65e92888b77acda08cf5684b2bfff4 *ProjectRed-1.7.10-4.5.7.58-Integration.jar
e6ed50faa474fd544eac66c4ce16fd6c *ProjectRed-1.7.10-4.5.7.58-Lighting.jar
6c4190d24adfd93951da9ee136b57440 *ProjectRed-1.7.10-4.5.7.58-Mechanical_beta.jar
011f20c78a2bf1c3c4ec0f2ebf22d185 *ProjectRed-1.7.10-4.5.7.58-World.jar
1c166b1a3078ed59593baa282a12939e *CodeChickenLib-1.7.10-1.1.1.106-universal.jar
f09d6bb48f518246af12751087b7734a *ForgeMultipart-1.7.10-1.1.0.314-universal.jar
d83750ddc39b9a744a9bcbadfcb79d14 *MrTJPCore-1.7.10-1.0.3.5-universal.jar

This problem with and without Optifine installed.

MyEternity: Have you tried switching to to Java 7u72 from u71 to see if that makes any difference? Also, have you tossed a bit more max memory (xmx) to see if it changes the error? Might not change anything, but when I was testing my broken build, it was edifying. :)

Tried java 8u25. xmx was set to 12GB of memory. Error is still present. Any other sugesstions how to fix it?

You're using LiteLoader. What happens if you launch with the standard Forge instead? Also remove other mods and see if it could be another mod interfering.

http://paste.ee/p/3Art7

1. Tried different java platforms. No difference. Same error.
2. Only project red and Code Chicken Core left.
   What's next?

Found problem. Seems this is Texture pack issue. Is it possible to fix it with code? For example try/except while loading textures?

Solution: remove mismatch (with mod internal assets) folder from Resource Pack: "assets\projectred\textures\obj\lights"

Duplicate of #610, #609, #608, #606 (OK I won't list them all from now on)

Update MrTJPCore to 1.0.2.4

Not seen that one before.
Re-download Project Red Lighting and Base and try again

Ok. Updated. Next trouble: http://paste.ee/p/ngzQT

Redownloaded. Game is still crashes on init, but without "ProjectRed-1.7.10-4.5.3.54-Lighting" - game started normally.

md5 of files:
9e5a1e3504382507259298da5c7bfd39 *ProjectRed-1.7.10-4.5.3.54-Base.jar
5459f95a69eb66dc3120c789ff4519c6 *ProjectRed-1.7.10-4.5.3.54-Compat.jar
7a6a89713ec4b93bd42a69b94642b2f0 *ProjectRed-1.7.10-4.5.3.54-Integration.jar
ba7f031bc2c864ba899f94d6bd4e12e1 *ProjectRed-1.7.10-4.5.3.54-Lighting.jar
5b4947b9e7532486dd66cd3d2bec8f2d *ProjectRed-1.7.10-4.5.3.54-Mechanical_beta.jar
d4cc36783ab0c2f3f51fcef9f89a88ed *ProjectRed-1.7.10-4.5.3.54-World.jar

Your files have the right md5, but they are still unable to find the right files. Likely not a bug with PR, but rather something strange happening on your end. Had 1 other report like this. Will investigate further. Try updating all related mods, especially CodeChickenLib.