@Thorne's mention of using a drone caused me to ask some questions. I upvoted his answer, but here's an alternative.
Assumption: The human being actually needs to leave the ship. Whether they just want to embrace the ultimate emptiness of space to the greatest degree or whatever the task to be done is, it can't be done by a drone of any shape or kind regardless how futuristic the tech gets (and if we use James Cameron's movie Avatar as an example, it can get very futuristic).
Assumption: The human being actually needs full movement. This means we can't use a human-shaped space ship. The hard suit is a fun idea, but it has fundamental problems, not the least of which is every articulated joint means a pressure weakness. That space under the armpit is incredibly hard to armor in a way that would keep pressure under control. Those dudes from Starcraft? Yeah... unless you separate their arms from their shoulders there's no way to pack that much torso and arm armor on. Besides, hard suits are boring! They've been used since the 1940's! Who wants to do what almost every scifi writer has done for 80 years?
1. Who says the mouth is needed for oxygen?
People who live in space are a unique breed. They always have been! And one of those reasons is they have these odd ports in their backs — one each on the left and right side of the body. Those ports connect the lungs to some of the coolest juju ever invented by Walker Space LLC (𝅘𝅥𝅯 Never go to space without your Waaaaalkeeer! 𝅘𝅥𝅯). The backpack on your suit contains compressed liquid atmosphere, which is normalized and move into and out of the lungs at a constantly monitored rate and pressure to keep them happy during your space walk. But that's not all!
There's two smaller ports in their back on the left and right of the heart that connect directly to the veins and arteries around the heart. Blood is drawn out, oxygenated, and put back into the body such that between the two systems no atmospheric suit is needed at all. The lung connection keeps your body's natural desire to "breathe" entertained while the circulatory connections actually keep you alive. And because we've taken the lungs out of the picture, the system can actually keep your body happy longer by including basic nutrients.
Because going to the bathroom on a space walk is so... inconvenient....
2. The suit's primary purpose is to keep you inside... and warm...
Relieving the suit as a necessary component for oxygenating the body means that it's nothing more than a heated elastic sock. The heat is obvious... but that elastic sock part might not be.
Those old-fashioned suits had to keep the space walker breathing as well as warm and contained. The body is designed to push outward against the skin to compensate for atmosphere pushing down onto the body. The situation isn't quite as bad as movies like Schwarzenegger's Total Recall, etc. But ugly things happen to the body when there isn't enough pressure outside.
This new suit has nothing at all to do with oxygenating the body — that's done through those ports we discussed. That means the suit is nothing more than an elastic sock that creates pressure against the body.
And this is great news! Because it means the suit can allow for more tactile experience and acrobatic response. No hinges, no seams, no bulky gloves. What's the point? You feel normal and can manipulate the world around you as normal.
3. But we still need to deal with radiation. And really strong sunlight.
Because no matter how well we deal with oxygenating the body, keeping the solar wind and various unhealthy radiations away from the body is still a problem. But we're dreaming, so we can claim the elastic body suit is radiation-proof.
But the eyes... how do we keep from having to deal with those clunky visors?
Well... we have Google glasses and Apple glasses and auto-focusing glasses and auto-tinting glasses so I don't think it's hard to believe even a near-future where the helmet is tight to the head (hearing via bone conduction) with enough "glass" to wrap around the head for peripheral vision and all that "glass" is high-tech to auto-protect the eyes and face against all the nasty photons in the universe.
In fact, something that looks a bit like the thermal suit from Val Kilmer's The Saint comes to mind.