There is basically the big guys that everyone's heard of (google, meta, microsoft/openAI, and anthropic) and then a handful of smaller players who are training foundation models mostly so that they can prove to VCs that they are capable of doing so -- to acquire more funding/access to compute so that they may eventually dethrone openAI and take a piece of the multi-billion dollar "enterprise AI" market for themselves.
Below that, there is a frothing ocean of mostly 7B finetunes created mostly by individuals who want to jailbreak base models for... reasons, plus the occasional research group.
The most oddball one I have seen is the databricks LLM which seems to have been an exercise of pure marketing. Those I suspect will disappear when the bubble deflates a bit.