If you came for the plague activities, please scroll down.
I was a latecomer to Terraria when I first played the game in the spring of 2017. Best I recall, I saw a screenshot of something someone had built in the game, and intrigued by that creative aspect I gave it a try.
That is still probably my biggest plus for the game: building, creating. The worlds are generated, which gives you a good amount of variability to begin with. That variety includes the different zones or biomes like the ocean, desert, and jungle. Each has its own flavor, and you can build in any of them.

The final major update has released today. The official word was that there would be some delay in Linux (and Macintosh) stability or optimizations, but so far it plays fine here.
One of the other neat things about Terraria was digging into their savegame format (with the help of some sites that publish some of the specification) with Python. Prior versions (we’ll see what 1.4 does) use what’s known as run-length encoding (RLE) to store a subset of the actual world tiles. You can think of it similar to a keyframe system in video, except it marks the last tile type and then the number of (vertically and below) tiles of the same type. Given that large parts of the world are filled with the same type of material (dirt, sand, etc.), this saves a lot of space.
Anyway, for awhile I had a lot of fun messing with that, even wrote a simple tool to turn an image file (using PIL as I recall) into background walls (something that, from a search at the time, had been done by several others).
The main thing I’m looking forward to for 1.4 is the improvements for building (including the ability to craft previously-uncraftable walls and some of the new furniture and other enhancements). They also add a feature called block-swap that speaks for itself, but will be useful for quickly changing the look of a building without having to tear everything down.

But some of the other features will be nice, including the more responsive world, updated artwork, added music, new town NPCs, and even golf.
Plague Activities (to get them out of your hair long enough to catch your breath)
As obvious, age-appropriateness depends on propensity to put things in mouth, dexterity, etc.
- Painting the basement walls. Requires a paintbrush and some container with water. Suffice it to say, you let the kid dip the brush in the water, then use the brush to make wet the basement wall, because it looks like they’re painting it. Could work on other surfaces like sidewalks/walkways or exterior walls. Good for a relatively unsupervised 20 minute break.
- Sort the things. Requires three containers, items to be sorted. Preparation: dump the things to be sorted into one bucket, then task your child to put the items of each type into the other buckets. More buckets needed if more than two types of things. Elastic task, as the more things to sort the longer it lasts, but boredom may take hold at around 20 minutes depending on complexity/enjoyability of the particular stuff being sorted. Suggested items include coins, pasta of different shapes, nuts and bolts, goats and sheep, etc.
- Terraria! The new version has so-called “journey mode” which lets you turn off enemies. You could build in peace, and you could play a video game while your kid(s) help you decide what to build. Something to consider anyway. Probably works better if you’re already familiar with Terraria. Not as unsupervised as some, but you get to videogame while keeping the runts entertained! Could work for some other games including Minecraft, bridge building games, Besiege, etc.
- Tape recorder. If you have an app or other way to play with audio recording, kids can amuse themselves quite awhile just recording, then replaying what they recorded. (At least I did when I was wee. I spent a lot of time playing by myself, in case you wondered.)
- Draw your own alphabet. (Requires basic alphabet skills.) 26 new drawings for new letters. Even if they take a minute to come up with each one, that’s 26 minutes back to you.