I don't know what counts as a major model. Relevant to this, I've dabbled with Gemma, Qwen, Mistral, Llama, Granite and Phi models, mostly 3-14b varieties but also some larger ones on CPU on a machine that has 64 GB RAM.
I think the issue there is those smaller versions of those models. I regularly use Gemma3 and Qwen3 for programming without issue but in the 27b-32b range. Going smaller than that generally yields garbage.
