The main thing I self-host (at home, as opposed to in the cloud) these days is Ollama. I did build a big, beefy server with an AMD RX 7090XTX card a couple of years ago for AI experimenting and the main thing I do with it lately is run Ollama for local models.

I self-host a bunch of other stuff (bugzilla, mediawiki, suitecrm, apache roller, etc) but all that stuff is on VPS's from OVH.