Several discussions here about this but no, no actual list that I know of. In general, anything that grows from a stem can be deeply transplanted. That doesn't mean it will necessarily develop new roots along the stem like tomatoes do for example, but it will strengthen the plant and provide additional support.

Any thing that produces its new growth from the crown (aka plant core) as some leafy greens and flowers do should not be deeply transplanted. Rather the crown is kept at soil level.

Dave

I think another clue might be, which plants can form roots from cuttings?

So in other words, the parts of the stems that are now buried, would create new roots at those leaf joints if they were cuttings that were planted.

An example would be wandering jew or purple queen. They can root easily from just a small portion being stuck in the ground, but I tend to get 6-8" long cuttings and put about 1/2 of it in the ground. Part of the reason is to make the mother plant a little more compact but also because I wanted the cutting to form roots from many potential sections.

anyone ever potted up cosmos and marigolds deeper?