Oops, sorry for the late reply but just got back from dying a bit at school. Almost done with all the finals and testing that we had to do so I'm here now. Hopefully I can give an adequate explanation to why I made Archer ^.^

[quote=@Over Illusion]

Instinct isn't seeing the future, it's feeling the future. I recommend removing it and sticking with Clairvoyance. 
[indent][color=cadetblue]Addressed Down below to prevent redundancy~ In the end though, a fluff skill and don't mind removing it[/color][/indent]

Vitrification isn't blending into the environment so much as just mental interference protection by being so calm; the emulation of PC is more akin to something that arises from the plus modifier in not!Kojiro's case, so remove that bit. 
[indent][color=cadetblue]More of a fluff skill that I would of preferred the PC to be given due to the weak nature of Archer but thats fine with me. I'm fine with removing that bit although is there anyway I can ask to leave this on or making it a lesser rank to compensate or removal entirely? [/color][/indent]

The first NP doesn't feel justified in being an NP given that you're basically using an NP slot to get two extra Personal Skill slots. I'd recommend removing Instinct, redoing Clairvoyance accordingly, and subbing in Uncrowned to the then-open slot. 
[indent][color=cadetblue]I thought that this Noble Phantasm would be the culmination of his legend, since the only thing that makes him remarkable is his skill. Being talented enough to defeat Arjuna in battle and have the God Krishina try to hamper Archer multiple times so that he would never surpass Arjuna, I believe this is something that should be made into a Noble Phantasm  These two aspects can be combined into a single Noble Phantasm but he doesn't have many other feats. [/color][/indent]

I don't really see the point of the second Noble Phantasm, since Eternal Arms Mastership just prevents mental interference from messing with your fighting skills, but Vitrification blocks out mental interference already, so it feels very redundant. Also the same issue as above applies in that this is basically just using an NP slot as a skill slot. As an aside, even EMIYA can make his arrows into curveballs, so something like that is fairly standard for Archers.
[indent][color=cadetblue]While it may be super redundant which I agree to a degree, it would show Archer's skill and suitably fit with his legend. Vitrification would also support the other fighting skills that Archer has which will even him out in cases where he doesn't have the opportunity to use his bow. As for the physic-defying archery, I hoped to have a little more leeway with like rapid fire arrows or really accurate shots with his bow. Again just a fluff NP to highlight his skill since he doesn't have anything else suitable which can be culminated into Noble Phantasm. [/color][/indent]
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[color=cadetblue] So in the end, yeah Archer isn't too impressive but is a very well-rounded Servant and I'd considered him a much more limited Chiron in what he is capable of and the skill set that he has. He doesn't have much to offer except for some good character interaction with other people and perhaps be an interesting person to face of in the middle of the war but not normally someone you see as a finalist. Hopefully you address the Vitrification skill and the reasoning I had for my Noble Phantasms to simply just be skills, if not then perhaps I can make something to replace them [/color]