I have made a few logo’s over the years. Most for fictional situations, and for myself.
One of the logo styles that is trending now has a bit of a puzzle in it, like this:
Also simple 2D graphics and retro types are trending:
A nice effect of a downloaded filter plug-in can help create interesting pattern.
And another possibility, which didn’t work.
For my initials I made something similar to JRR Tolkiens logo, which I later put on a shield.