This reminds me of a Lara Croft desktop(?) Screensaver? She climbed onto the window's edges -that were open on your windows screen, rolled, jumped, etc. Sometimes made a comment about you not having cleaned up your desktop. It was a small executable, than ran with or without sound. It wasn't very random, but it made for an interactive mind distraction on a rough day. She also walked across the bottom of the screen, o…
There was a few programs like this. The earliest one I recall was Neko https://en.m.wikipedia.org/wiki/Neko_(software) But I think there were sheep, dancing babies (ugh!!), something like Bonzi Buddy rings a bell (I once had to clean something named that off a colleague’s workstation when he reported it thinking it was malware). There was also toys like this on Linux and Unix too. Most famously xeyes. I miss the play…
But if you read the description of its spyware behaviour from a current perspective, it's not that different from the telemetry that’s implemented everywhere and Windows bugging you to use Bing as a search engine.