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The most important special if you really want to min-max is Endurance due to the health calculation
Bloody Mess is great
Idiot Savant can be useful (you generally want to start with it if you plan on using it though)
Beyond that you would be spending a lot of perks to not get a lot of value if you don't use VATS...
Melee Builds don't need them perks, also you can just wait and get lucky with traders having weapons attachments and stuff
I always go for 10 endurance on Survivial. I think it's a must for how squishy you are.
Nerd rage is not that good, just get a piece of martyr gear instead. Also doesn't help that Nerd Rage is prone to not proc at times due to bugs
For example, on a high Luck build character playthrough, I find about 4-6 Legendaries in buildings/areas while on Quests in that area/building - this is on NORMAL.
It's fine if you ignore Luck, but even the introduction cinematic for Luck states it affects far more than just Criticals (also, the Official Game Guide lists a bunch of things it affects).
Since you get Perk Points every Level, there's no sense in not maxing it out, eventually :) Have fun with it!
Container loot is set from leveled lists, which can easily be looked up, they do not check luck.
There is even a loot rolling simulator in the creation kit so you don't have to go in game to see.
It only cares about level.
(in Creation Kit: LeveledItems --> Container_Loot_<whatever container type>)
Legendaries chance is based on difficulty and level only.
Here is LegendaryChanceQuest:
(uses script QF_LegendaryChanceQuest_00165570.psc)
if game.GetPlayer().GetLevel() > 50
ChanceLegendary.SetValue(20)
elseif game.GetPlayer().GetLevel() > 40
ChanceLegendary.SetValue(18)
elseif game.GetPlayer().GetLevel() > 30
ChanceLegendary.SetValue(15)
elseif game.GetPlayer().GetLevel() > 20
ChanceLegendary.SetValue(12)
elseif game.GetPlayer().GetLevel() > 5
ChanceLegendary.SetValue(10)
ChanceLegendary is a Global Value that is used by many different Actors (79 types, but many spawns for each type. For example LvlRaider is 1 type, but with 210 different spawns...) to determine if they spawn as a legendary.
Beyond that, I find luck is overrated. Skill is far more reliable.