TinyCore’s “Core" is still just 17 MB and is text-based. It includes the tools to install everything else. It only supports wired networks for the most part.

“TinyCore” is 23MB. It includes a minimal GUI desktop.

“CorePlus” at 243 MB is internationalized, has a half dozen more window managers to choose, has wireless networking tools, and a remastering tool to spin your own.

http://tinycorelinux.net/downloads.html

I had no issues at all running alpine with a UI on a simulated 128MB RAM machine with a few GB of storage (with simulated 2000's disk speeds). That's 128MB not counting memory for the BIOS, of course.

i3 and NetSurf made that extremely possible. Mind you, the only things that didn't work well were Firefox (wouldn't launch due to OOM) and compiling Rust projects. Single translation units in Rust would immediately OOM the system, whereas C, C++, etc. worked fine.