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What are plausible reasons for equipping an army with the Faceless Goon style helmets? Is there a good reason at all? Please note that its a faceless helmet not a Balaclava or other form of covering but a full on total head covering helmet.

Some examples-

Anonymous

You can see Riot police covering their faces and name tags so to avoid public persecution, the same thing could happen for soldiers if they are deployed into a civillian zone and if identified could risk their personal lives or that of their families because of the acts they have to commit.

NBC Protection

Maybe they are operating a zone of nuclear, biological, or chemical dangers, so the full helmet is needed to protect them from dangers of their enviroment. In this case their uniforms would be completely sealed to prevent contamination.

The very first people to consider that were probably the ancient persians:

Herodotus describes the 'Immortals' as being heavy infantry, led by Hydarnes, it provided the professional corps of the Persian armies and was kept constantly at a strength of exactly 10,000 men. He stated that the unit's name stemmed from the custom that every killed, seriously wounded, or sick member was immediately replaced with a new one, maintaining the corps as a cohesive entity with a constant strength.

Suppose one of your faceless soldiers.gets shot by the enemy and leaves the enemy's sight. Another faceless soldier then engages and gets shot, and again gets replaced. Over time your enemies will be questioning whether they are actually scoring hits, or whether it is even possible to take down that resilient guy. This can reduce enemy morale.

Also what Sasha said.

Full Face protection

A full helmet provides protection not just to the head, but to the eyes and face as well.

NBC

Per Sasha's answer, NBC (Nuclear, Biological, Chemical) protection requires a completely sealed suit, including enclosed head gear.

Harsh environments

Sandstorms, underwater, vacuum, etc.

HUD

At least one of the images you show are from near future style games/movies. Integrated comms, heads up displays, and low-light/enhanced optics make such a device useful for obvious reasons.

Psychology

Intimidation, anonymity, uniformity, and so on, all have a value in some situations.

Other

In general, the helmet, due to general bulk and inconvenience (can't scratch an itch, stuffy, etc) probably won't be worn at all times, likely only being donned just prior to action, similar to current military helmets. And for scenarios where they aren't needed, lighter headgear might be provided. But there will certainly be scenarios where the fully enclosed helmet is useful, if not critical.

Additionally, people are wired to pick out faces. A shiny helmet might not help, but something matte or camouflaged could make it slightly harder to pick out targets, giving a fraction of a second or longer delay that the helmeted soldier could exploit.

And, hey, it looks bad-ass.

faceless helmets could be handy for morale purposes in combat. If a faceless ally gets killed next to you it could be less traumatic than seeing the guy you trained with killed. On a similar line of thought bringing faceless soldiers back off the battlefield for medical attention may help to ensure there isn't any preferential treatment.

Faceless helmets could also have an intimidation factor in combat as the helmets give them a less than human appearance, essentially fooling enemies that they have less mercy than a regular soldier or to imagine how horrifying they must be if they need to hide their faces.

Reasons are:

• Its cheap to mass produce identical/scaled equipment


• Full head-gear protects the brain and eyes


• full head-gear can have a HUD


• Full head-gear provides a controlled atmosphere


• It can provide a membership symbol to those wearing it


• It can be used to induce fear/respect

Fear/Respect

This is perhaps the most likely reason, particularly in earlier cultures. Why?

The most scary and terrifying thing you will ever encounter is an Army of the Nameless Other.

That squad is uniform in appearance and movement, it has tools that you consider dangerous or threatening, and you do not encounter it everyday.

You, a human, are a prey animal and that squad appears to your brain as a hyper-predator.

You will enter flight or fight mode.

Because that hyper-predator is too big and alien for you to mount a proper counter-response too you will prefer flight. There are three exceptions:

• You came to confront that predator specifically.


• You are defending something of value, eg: your children or your wife/husband who cannot get to safety or an idea which is as deep as life itself such as free speech


• You are possessed by extreme emotions already and cannot think at all.

That is why protestors in front of a riot squad behave as they do.

• Some are actually there to attack and tear something apart - the squad is a challenging target


• Some are there to defend something from harm - the squad is representative of that harm (hence why riot squads walk slowly so as to not trigger this response).


• Some are there because it is already a bad day - the squad is alien and will attract a negative response which is why they move slowly, these people will likely come to their senses given some time.


• Everyone else flees.

source
1. You can have actors who are easy on the eye and can deliver their lines in the native language of your audience. Then with the helmet on you can have fight scenes with a martial arts expert who looks nothing like your actor but who has got sweet martial arts skills. And you can use those same helmeted fight scenes for versions of your program with completely different actors / languages.

2. If actor stops showing up or holds out for more money midseason, you can have his character's helmet get inexplicably stuck on his head and film the rest of the season with someone more tractable.