At first glance it looked to me like a roguelike version of Don't Starve (but more chilled out, contrary to typical games in this genre).

Interesting how the sounds play with typical roguelike look — it's a nice mixture and it's making it easier to understand what's going on.

The world is big and it's not easy to find the way back home or to explore new places. Maybe some system of navigation would be useful. Might something as simple as a minimap or maybe some signs or magnetic field emitters you can construct in various places and then use an item (compass?) which would tell you what direction they are at.

Maybe I was too lazy or too little curious, but didn't feel like growing plants is very important for me since I had enough nutrition from berries. I was missing an overall goal like preparation for survival or for exploring a dangerous place.

A few UI annoyances:

• I'm not sure how to easily quit the construction menu. I automatically press Escape which makes me leave the full screen.
• Much of the screen space is wasted. Even with full screen, the game takes only half of it and the sides are also empty. Fortunately it's part of the website, so I can just use browser zoom.

I see you've already made several of the UI suggestions from earlier, like the shift-tabbing for inventory items.  I have some other suggestions to improve some of the pain points and/or make things cooler:

• Maybe instead of moving with the arrow keys and shift-arrow to change facing, instead maybe make it so that the first arrow key hit in a given direction changes your facing in that direction, and you only move if you hit an arrow key and you're already facing that direction.  I find I spend a lot of time just fiddling with that, and I suspect this would be more intuitive and easier.
• Make an explicit key for eating something ("E" maybe), rather than space bar. I find myself accidentally eating things all the time, which can kill you in the early game if you eat the wrong things.
• A craftable "gate" item that you can walk through that animals can't would be a really solid quality-of-life improvement.  Or don't make animals move diagonally, so that you can safely enter a paddock.
• The "memory" of the map that shows the last state you saw on map tiles that are out of view is a great addition, but maybe it shouldn't show animals. It's very confusing when you see two "p" tiles and go looking for two animals. (This is especially true at night where "memory" tiles are very difficult to distinguish from "nighttime visible" tiles.)
• I feel like the "you're tired" versus "you need to sleep" thing is confusing and ambiguous.  Maybe it would be better to just unify those two mechanics - you get tired when you run out of stamina.  OR you can have a separate bar that shows how sleepy you are or something so you know when you should be thinking about going to go sleep. But right now, you can watch your stamina bar but it doesn't seem coupled with when you need to sleep.
• I feel there should be a command that lets you rest without sleeping.  I.e., if you wake up and chop a lot of trees, so you're tired but it's only been an hour since you slept, you ought to be able to rest a bit and then resume chopping.
• Related to the above, the character's circadian rhythm seems off.  I often find myself sleeping and waking up in the middle of the night. Maybe have something a little more tied to daytime / nighttime cycles so that you get tired at night, you wake up in the morning, etc.
• Maybe show your credits somewhere?  If you have a lot of messages when you wake up, it zooms right over showing you your current credits.
• Is there something I can actually spend the credits on?
• What exactly can you put in the machine?  Only plants?  It appears to let you put animals in...?
• I kept losing seeds, and I realized it's because you can accidentally plant two seeds in one plot.
• It would be nice if I could "fix" a random tilled spot that I didn't mean to till, just so the land around my homestead looks nice.
• Some decoration blocks would be nice.
• I encountered some mushrooms growing in caves. That was neat, but it seemed like all I could do was destroy them? Seems like I ought to be able to harvest them. (More generally, being able to range around and find new things would be fun.)  A compass to get back to your homestead would help with that.
• Also, I think I accidentally tried to use rocks on a mushroom, and the game froze.
• The number of animals that showed up around my homestead suddenly seemed to jump at one point in the game, where there were dozens of animals roaming around. Might be a bug, or maybe it's intended behavior once I get a farm going?
• I don't like control to pick things up.  It's in an awkward spot; it was better when it was comma.  Also, if there is nothing in front of you to pick up when you hit that command, maybe check the tile you're standing on.
• It appears that monsters spawn on water tiles, making them trivial to catch because they cannot move; you just raft over to them and pick them up.

Anyway, it's a fun diversion already. I hope the above doesn't come off as ripping on the game; these are all just minor things that I think would improve it, but I wouldn't bother mentioning all the above if I didn't think there was a solid basis here that offered a lot. What's there is already quite engaging, and it would be nice to see this fleshed out into something larger!

I play for a couple of hours, and after a while I think it would be nice to be able to build some roads out of stone (maybe some  bridges out of wood). The roads may be useful to reduce stamina spent and also to not get lost. 

• Animals seem to be vanishing. This is new behavior. I'd see an animal, and I'd go chasing after it, and when I'd get close, it would sometimes just...vanish.  Many times when it happened, I was very close to it, and the impression I got was that maybe it tried to move onto my space and that caused the game to lose track of it or something.
• Still having trouble with the whole "exhaustion to the point of fainting while my stamina is high" thing.  Those really feel disconnected; I can tell when I'm getting tired from swinging axes, but not...whatever drives the other thing.  "Oh!  I'm so tired I'm fainting! Didn't know."
• It would be cool if you could plant berries to have berry gardens near your house.
• Not a huge deal, but it seems strange that a gate/door takes five times as much wood as a fence/door; it seems like they should take about the same amount of wood.  On a related note, you could reduce some tedium by granting two or three units of wood per tree.
• Sometimes mining rock wouldn't yield a unit of stone.  Not sure if that was intended.
• Still need a way to rest during the day.  If I wake up in the morning, go chop a few trees down, dropping my stamina low, and I go back to my house to take a nap until the afternoon, it feels like I should regain at least some stamina and be able to go do something.  My hunger still goes up, but my stamina stays low.  As it stands, the efficient strategy seems to be to do a lot of "one hour workday" sorts of things where you are active for an hour or two, then sleep over and over until you wake up the next day.
• Seems like the above could work with some nice features.  Like, say you add a "rest" command that lets you spend some time to regain a stamina point.  You could make the amount of time you have to rest to gain a stamina point variable, and the more "comfy" the place you rest, the faster you get stamina back.  Craft a comfy chair next to a fireplace for quick stamina gains. Lie down on a bed for quick stamina gains. Sit down in the wilderness for slow stamina gains but you don't have to travel back.  Etc.  Would give a nice incentive for decorating and building up your house, and it would make it feel more "homey".
• Still needs a save/load game feature.  Infrastructure-building games really need the ability to pick up where you left off.
• Any suggestions for playing the game large onscreen?  Zooming in on the itch.io page crops the game on the right, and clicking the fullscreen button works, but the game is in the top half of the screen with the bottom half of the screen white.  I could play the game large back when it was on your site, but I can't seem to get it to work now that it's over on the itch.io site.
• The remappable controls you talked about would be really nice.  I mentioned it before, but the control key is especially problematic, because on the Mac, control-arrow is a system shortcut for switching screen spaces, making it quite often cause you to accidentally leave the game and go to another application, and have to re-establish focus when you return. Happens a lot when I'm harvesting and I accidentally hit control while I'm arrowing.

You asked for suggestions on things to find out in the wilderness.

• Flowers and other plants.  Flowers could be transplanted as decoration, but other plants (like berries) could provide food or other benefits, like a rare fruit you could eat that would replenish your stamina.
• Something interesting in caves.  The mushrooms showing up in caves are cool, but unless I'm missing something, they're still not harvest-able.  Maybe gemstones or minerals that you can put in the bin for credits?
• Lakes in caves would be neat.  (A craftable item to shed light in caves would be a cool addition once you start adding neat stuff to find in caves.)
• Animal nests, dens, and lairs where there are several of that species milling around the same area.
• Fish in the pond areas that you can craft a fishing pole to fish for.
• More cool discoveries like buildings.  (Maybe you have a lot of these and I've just not encountered them; I've only found one so far.) These might be a cool place to spend your credits - find a place in the forest, and you can trade credits for some neat item or a crafting blueprint or something.

Anyway, the improvements are looking good. The game's enjoyable and interesting; I'd love to see more content for it.