Factorio is one of them, but other puzzle games such as topological ones (Spacechem, Opus Magnum, Infinifactory, Molek-syntez), programming (Shenzhen IO, TIS-500, Human Resource Machine, Silicon Zeroes) or logic ones (Baba is you) kind of scratch similar itches.
As for doing engineering for fun, some of us are stuck doing rather boring tasks at the office, and the idea of having a game that one can just put away seems less daunting than having a code/hardware project that could potentially sit uncompleted. Designing robots definitely is fun, although it requires a fair bit of working space and tools.
I agree that it's really enjoyable to build physical things. I have one 3D part that I've been meaning to print for a while, but without a 3D printer at home it's a bit trickier to get it done. I wish I had a home workshop, but Silicon Valley prices make that a rather expensive proposition. There's no more TechShop either. :-(
Weren't you afraid that you'll somehow botch the headphones and they'll play an excessively loud sound, which will permanently damage your hearing or give you tinnitus? Or can that risk be ruled out somehow?
Perhaps there should be a wiki or something just about all the different skills a human can have. And each skill would have some description how to get started ("first couple levels") and links to other skills. The links would describe that if you enjoy skill A, here's why you might also enjoy learning related skill B for this and that reason. So you could choose in what direction you want to continue the learning.
Your “engineering for fun” is perhaps not what most engineers do day to day. And certainly our jobs and workplaces generally are not explicitly designed to be enjoyable with satisfying outcomes.
https://www.vice.com/en_us/article/4x38aq/why-do-we-play-vid...