What is the opposite of an exhaustive list?

If you want to simply state the list is incomplete, you can say a "partial list"; if you want to emphasize the list is intentionally not exhaustive, you can say a "selective list". If you're simply listing some examples, you can say that.

The English (well, ok, Latin) typographic convention which corresponds to your "と" is "i.e.": that is, specifically, exactly, and respectively to "や" is "e.g.": for example.

You could say an

Incomplete list

is not exhaustive. However note that neither this, nor the "partial list" of the previous answer, is truly an antonym: they imply that there definitely are other items which our presented list does not include, but which an exhaustive list would.

To include the possibility that our list could potentially be exhaustive, but we don't have enough information to say that definitively, I'd still go with a

Non-exhaustive list

Being a mathematician at heart, I would use “a sample” or “a sampling” (as used in statistics), or “a subset” (from set theory).  Strictly speaking, neither of these is explicitly non-exhaustive (at least in set theory, any set is a subset of itself, so “subset” could refer to the entire collection), but they have the connotation of representing less than the whole.